Lecture Notes in Mathematics
|
|
- Gloria Doyle
- 6 years ago
- Views:
Transcription
1 Lecture Notes in Mathematics Edited by A. Dold and B. Eckmann 1246 Hodge Theory Proceedings of the U.S.-Spain Workshop held in Sant Cugat (Barcelona), Spain June 24-30, 1985 Edited by E. Cattani, F. Guillen, A. Kaplan and F. Puerta Springer-Verlag Berlin Heidelberg New York London Paris Tokyo
2 Editors Eduardo Cattani Aroldo Kaplan Dep.artmentof Mathematics, University of Massachusetts Amherst, Massachusetts 01003, USA Francisco Guillen Fernando Puerta Departament de Maternatiques ETSEIB Universitat Politecnica de Catalunya Avenida Diagonal 647, Barcelona, Spain Mathematics Subject Classification (1980): Primary: 14C30, 32J25 Secondary: 14B05, 14B15, 14005, 14F40, 14J 15, 32C38, 32G 13, 32G20 ISBN Springer-Verlag Berlin Heidelberg New York ISBN Springer-Verlag New York Berlin Heidelberg This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, recitation, broadcasting, reproduction on microfilms or in other ways, and storage in dats banks. Duplication of this publication or parts thereof is only permitted under the provisions of the German Copyright Law of September 9, 1965, in its version of June 24, 1985, and a copyright fee must always be paid. Violations fall under the prosecution act of the German Copyriqht Law. Springer-Verlag Berlin Heidelberg 1987 Printed in Germany Printing and binding: Druckhaus Beltz, Hemsbach/Bergstr. 2146/
3 Introduction This volume contains most of the papers presented at the 1985 U.S.-Spain workshop on Hodge Theory, which took place in June of that year in St. Cugat del Valles (Barcelona), under the auspices of the Joint Committee for Scientific and Technological Cooperation between the two countries. The methods of harmonic theory introduced by Riemann in the study of algebraic curves and extended by Hodge to higher dimensions, yield important consequences for the structure of smooth projective varieties; prototypical examples are the decomposition of the complex cohomology groups of such varieties according to Hodge type, and the Lefschetz decomposition in terms of primitive cohomology classes. Since Hodge, these ideas have undergone several generalizations of great interest in algebraic geometry. This volume focuses on those concerning singular and open varieties, families, and the rational homotopy of varieties, which have been developed during the past 20 years. The structure present in the local system of cohomology defined by a family of smooth varieties was encoded by Griffiths in the notion of a variation of (polarized) Hodge s t ruct.ur-e l. Some of the related questions explored in these proceedings include: a geometric realization of certain maximal variations of Hodge structure; an asymptotic description of a variation degenerating at a divisor with normal crossings; an explicit construction, for some particular cases, of the equivalence 1 cf. the survey papers: P. Griffiths: "Periods of integrals on algebraic manifolds: summary of main results and discussion of open problems", Bull. Amer. Math. Soc. 2Q, (1970). P. Griffiths and W. Schmid: "Recent developments in Hodge Theory: a discussion of techniques and results", Proc. of the International Colloquium on Discrete Subgroups of Lie Groups and Applications to Moduli, Bombay 1973, Oxford University Press, 1975,
4 IV between unipotent variations of mixed Hodge structure and mixed Hodge theoretic representations of the fundamental group, and a study of the higher Albanese manifolds that play a role in the classification of unipotent variatiorts of mixed Hodge structure. In "Theorie de Hodge, I, II and 111,,2, Pierre Deligne introduced the notion of a mixed Hodge structure and proved the existence and functoriality of such a structure in the (ordinary) cohomology groups of singular or open varieties over C. Two very fruitful approaches to the study of mixed Hodge theory are presented in this volume: the use of cubical hyperresolutions and the notion of iterated integrals. They are applied to the construction of mixed Hodge structures on the rational homotopy of algebraic varieties, on the cohomology of a link, on the local cohomology of an analytic space in the neighborhood of a compact algebraic subvariety, and on the vanishing cycles. An.Q.-adic description of the weight filtration on the cohomology of a link is also given, as well as a result showing that mixed Hodge complexes are preserved by truncations. A third subject discussed here is that of the L2- realization of Intersection cohomology and its implication: the existence of pure Hodge structures on these groups. The cases of singular varieties with constant coefficients and of degenerating coefficients on a smooth base are both treated extensively. Finally, connections with arithmetical questions and an update on certain aspects of the Hodge conjecture are included as well. The limitations inherent in the format of the workshop made it impossible to include other important aspects of modern Hodge theory. Among these we should mention the applications to the study of singularities, algebraic cycles, the theory of infinitesimal variations of Hodge structure, and Torelli-type 2 Theorie de Hodge: I, Mathematiciens, Nice 1970; 5-57 ; (1974), Actes du Congres International des II, III, PubL, Math. IHES, (1972),
5 v problems. Some of these questions are extensively discussed in "Topics in Transcendental Algebraic Geometry", P. Griffiths, ed., Annals of Math. Studies, Princeton U. Press (1984) We also refer to this volume as an introduction to the basic concepts and methods. We are very grateful to all the participants who made this a succesful conference and, very specially, the contributors to this volume. Thanks are also due to Dr. Harold Stolberg of the National Science Foundation for his support. October E. Cattani F. Guillen A. Kaplan F. Puerta
6 Table of Contents J. A. Carlson and C. Simpson: Shimura varieties of weight two Hodge structures. E. Cattani, A. Kaplan and W. Schmid: Variations of polarized Hodge structure: asymptotics and monodromy 16 E. Cattani, A. Kaplan and W. Schmid: Some remarks on L 2 and Intersection cohomologi es. 3 2 A. Durfee: The cohomology of links. 42 F. Guillen and F. Puerta: Hodge-Deligne. Hyperresolutions cubigues et applications ala theorie de 49 R. Hain: Iterated integrals and mixed Hodge structures on homotopy groups. 75 R. Hain: Higher Albanese manifolds. 84 R. Hain and S. Zucker: A guide to unipotent variations of mixed Hodge structure. 92 R. Hain and S. Zucker: Truncations of mixed Hodge complexes. 107 M. Kashiwara: Poincare lemma for a variation of polarized Hodge structure. 115 F. Loeser: Evaluation d'integrales et theorie de Hodge. 125 V. Navarro Aznar: cents. Sur les structures de Hodge mixtes associees aux cycles evanes- 143 V. Pati: L 2-cohOmology of algebraic varieties in the Fubini metric. J. H. M. Steenbrink: Some remarks about the Hodge conjecture
Lecture Notes in Computer Science
Lecture Notes in Computer Science Edited by G. Goos and J. Hartmanis 413 Reiner Lenz Group Theoretical Methods in Image Processing II III II II II Springer-Verlag Berlin Heidelberg NewYork London Paris
More informationLecture Notes in Mathematics
Lecture Notes in Mathematics Edited by A. Dold, B. Eckmann and F. Takens 1406 L. Jacobsen (Ed.) Analytic Theory of Continued Fractions III Proceedings of a Seminar-Workshop, held in Redstone, USA, June
More informationErgebnisse der Mathematik und ihrer Grenzgebiete
Ergebnisse der Mathematik und ihrer Grenzgebiete 3. Foige. Band 16 A Series of Modern Surveys in Mathematics Editorial Board E. Bombieri, Princeton S. Feferman, Stanford N. H. Kuiper, Bures-sur-Yvette
More informationLecture Notes in Mathematics
Lecture Notes in Mathematics Edited by A. Dold and B. Eckmann 766 Tammo tom Dieck Transformation Groups and Representation Theory Springer-Verlag Berlin Heidelberg New York 1979 Author T. tom Dieck Mathematisches
More informationContributors. Preface
Contents Contributors Preface v xv 1 Kähler Manifolds by E. Cattani 1 1.1 Complex Manifolds........................... 2 1.1.1 Definition and Examples.................... 2 1.1.2 Holomorphic Vector Bundles..................
More informationBourbaki Elements of the History of Mathematics
Bourbaki Elements of the History of Mathematics Springer Berlin Heidelberg New York Barcelona Hong Kong London Milan Paris Singapore Tokyo Nicolas Bourbaki Elements of the History of Mathematics Translated
More informationLecture Notes in Physics
Lecture Notes in Physics Edited by H. Araki, Kyoto, J. Ehlers, MLinchen, K. Hepp, ZSrich R. Kippenhahn, MLinchen, D. Ruelle, Bures-sur-Yvette H.A. WeidenmSIler, Heidelberg, J. Wess, Karlsruhe and J. Zittartz,
More informationLecture Notes in Computer Science
Lecture Notes in Computer Science Edited by G. Goos and J. Hartmanis 417 II I R Martin-L6f G. Mints (Eds.) COLOG-88 International Conference on Computer Logic Tatlinn, USSR, December 12-16, 1988 Proceedings
More informationLecture Notes in Mathematics
Lecture Notes in Mathematics Edited by A. Dold and B. Eckmann 715 Inder Bir S. Passi Group Rings and Their Augmentation Ideals Springer-Verlag Berlin Heidelberg New York 1979 Author Inder Bir S. Passi
More informationLecture Notes in Mathematics
Lecture Notes in Mathematics Editors: A. Dold, Heidelberg F. Takens,Groningen 1646 Subseries: Fondazione C. 1. M. E., Firenze Adviser: Roberto Conti Springer Berlin Heidelberg New York Barcelona BUdapest
More informationComplex Geometry and Lie Theory
http://dx.doi.org/10.1090/pspum/053 Complex Geometry and Lie Theory Proceedings of Symposia in PURE MATHEMATICS Volume 53 Complex Geometry and Lie Theory James A. Carlson C. Herbert Clemens David R. Morrison
More informationLecture Notes in Physics
Lecture Notes in Physics Edited by H. Araki, Kyoto, J. Ehlers, MLinchen, K. Hepp, ZUrich R. Kippenhahn, ML~nchen, D. Ruelle, Bures-sur-Yvette H.A. WeidenmSIler, Heidelberg, J. Wess, Karlsruhe and J. Zittartz,
More informationIgor R. Shafarevich: Basic Algebraic Geometry 2
Igor R. Shafarevich: Basic Algebraic Geometry 2 Igor R. Shafarevich Basic Algebraic Geometry 2 Second, Revised and Expanded Edition Springer-Verlag Berlin Heidelberg GmbH Igor R. Shafarevich Steklov Mathematical
More informationLecture Notes in Artificial Intelligence
Lecture Notes in Artificial Intelligence Subseries of Lecture Notes in Computer Science Edited by J.G. Carbonell and J. Siekmann 1047 Lecture Notes in Computer Science Edited by G. Goos, J. Hartmanis and
More informationClassics in Mathematics
Classics in Mathematics Friedrich Hirzebruch Topological Methods in Algebraic Geometry Friedrich Hirzebruch Topological Methods in Algebraic Geometry Reprint of the 1978 Edition Springer Friedrich Hirzebruch
More informationLecture Notes in Mathematics
Lecture Notes in Mathematics Edited by A. Oold and B. Eckmann 1238 Michael Holz Klaus-Peter Podewski Karsten Steffens Injective Choice Functions Springer-Verlag Berlin Heidelberg New York London Paris
More informationLecture Notes in Mathematics
Lecture Notes in Mathematics A collection of informal reports and seminars Edited by A. Dold, Heidelberg and B. Eckmann, Zorich 309 David H. Sattinger University of Minnesota, Minneapolis, MN/USA Topics
More informationLecture Notes in Physics
Lecture Notes in Physics Edited by H. Araki, Kyoto, J. Ehlers, MLinchen, K. Hepp, ZUrich R. Kippenhahn, MLinchen, H.A. WeidenmSIler, Heidelberg J. Wess, Karlsruhe and J. Zittartz, KSIn Managing Editor:
More informationHODGE THEORY, SINGULARITIES AND D-MODULES
Claude Sabbah HODGE THEORY, SINGULARITIES AND D-MODULES LECTURE NOTES (CIRM, LUMINY, MARCH 2007) C. Sabbah UMR 7640 du CNRS, Centre de Mathématiques Laurent Schwartz, École polytechnique, F 91128 Palaiseau
More informationBoundary Control and Boundary Variation
J.R Zol6sio (Ed.) Boundary Control and Boundary Variation Proceedings ofifip WG 7.2 Conference Sophia Antipolis, France, October 15-17, 1990 Springer-Verlag Berlin Heidelberg NewYork London Paris Tokyo
More informationEditors. Prof. Dr. Hans H. Jaffe. University of Cincinnati Cincinnati, Ohio 45221/USA
Editors Prof. Dr. Gaston Berthier Universite de Paris Institut de Biologie Physico-Chimique Fondation Edmond de Rothschild 13, rue Pierre et Marie Curie F-75005 Paris Prof. Dr. Michael J. S. Dewar Department
More informationEncyclopaedia of Mathematical Sciences
Encyclopaedia of Mathematical Sciences Volume 50 Editor-in-Chief: R. V. Gamkrelidze Springer Berlin Heidelberg New ork Barcelona Budapest Hong Kong London Milan Paris Santa Clara Singapore Tokyo A. V.
More informationNonlinear Dynamical Systems in Engineering
Nonlinear Dynamical Systems in Engineering . Vasile Marinca Nicolae Herisanu Nonlinear Dynamical Systems in Engineering Some Approximate Approaches Vasile Marinca Politehnica University of Timisoara Department
More informationA TRANSCENDENTAL METHOD IN ALGEBRAIC GEOMETRY
Actes, Congrès intern, math., 1970. Tome 1, p. 113 à 119. A TRANSCENDENTAL METHOD IN ALGEBRAIC GEOMETRY by PHILLIP A. GRIFFITHS 1. Introduction and an example from curves. It is well known that the basic
More informationLecture Notes in Chemistry
Lecture Notes in Chemistry 59 Edited by: Prof. Dr. Gaston Berthier Universite de Paris Prof. Dr. Michael J. S. Dewar The University of Texas Prof. Dr. Hanns Fischer Universitat Ziirich Prof. Dr. Kenichi
More informationLecture Notes in Mathematics Editors: J.-M. Morel, Cachan F. Takens, Groningen B. Teissier, Paris
Lecture Notes in Mathematics 1915 Editors: J.-M. Morel, Cachan F. Takens, Groningen B. Teissier, Paris Türker Bıyıkoğlu Josef Leydold Peter F. Stadler Laplacian Eigenvectors of Graphs Perron-Frobenius
More informationRESEARCH STATEMENT FEI XU
RESEARCH STATEMENT FEI XU. Introduction Recall that a variety is said to be rational if it is birational to P n. For many years, mathematicians have worked on the rationality of smooth complete intersections,
More informationClassics in Mathematics Andre Weil Elliptic Functions according to Eisenstein and Kronecker
Classics in Mathematics Andre Weil Elliptic Functions according to Eisenstein and Kronecker Andre Weil was horn on May 6, 1906 in Paris. After studying mathematics at the Ecole Normale Superieure and receiving
More informationLecture Notes in Mathematics
Lecture Notes in Mathematics Edited by A. Dold and B. Eckmann 663 J. F. Berglund H. D. Junghenn p. Milnes Compact Right Topological Semigroups and Generalizations of Almost Periodicity Springer-Verlag
More informationContents. 1. Introduction
THE DIFFERENTIABLE CHAIN FUNCTOR IS NOT HOMOTOPY EQUIVALENT TO THE CONTINUOUS CHAIN FUNCTOR F. GUILLÉN, V. NAVARRO, P. PASCUAL, AND AGUSTÍ ROIG Abstract. Let S and S be the functors of continuous and differentiable
More informationPeter Orlik Volkmar Welker. Algebraic Combinatorics. Lectures at a Summer School in Nordfjordeid, Norway, June 2003 ABC
Peter Orlik Volkmar Welker Algebraic Combinatorics Lectures at a Summer School in Nordfjordeid, Norway, June 2003 ABC Authors Peter Orlik Department of Mathematics University of Wisconsin-Madison 480 Lincoln
More informationShijun Liao. Homotopy Analysis Method in Nonlinear Differential Equations
Shijun Liao Homotopy Analysis Method in Nonlinear Differential Equations Shijun Liao Homotopy Analysis Method in Nonlinear Differential Equations With 127 figures Author Shijun Liao Shanghai Jiao Tong
More informationUV-VIS Spectroscopy and Its Applications
SPRINGER LABORATORY Heinz-Helmut Perkampus UV-VIS Spectroscopy and Its Applications Translated by H. Charlotte Grinter and Dr. T. L. Threlfall With 78 Figures and 21 Tables Springer -Ver lag Berlin Heidelberg
More informationKarl-Rudolf Koch Introduction to Bayesian Statistics Second Edition
Karl-Rudolf Koch Introduction to Bayesian Statistics Second Edition Karl-Rudolf Koch Introduction to Bayesian Statistics Second, updated and enlarged Edition With 17 Figures Professor Dr.-Ing., Dr.-Ing.
More informationPeter E. Kloeden Eckhard Platen. Numerical Solution of Stochastic Differential Equations
Peter E. Kloeden Eckhard Platen Numerical Solution of Stochastic Differential Equations Peter E. Kloeden School of Computing and Mathematics, Deakin Universit y Geelong 3217, Victoria, Australia Eckhard
More informationAmbrosio Dancer Calculus of Variations and Partial Differential Equations
Ambrosio Dancer Calculus of Variations and Partial Differential Equations Springer-Verlag Berlin Heidelberg GmbH L. Ambrosio N. Dancer Calculus of Variations and Partial Differential Equations Topics on
More informationLecture Notes in Control and Information Sciences
Lecture Notes in Control and Information Sciences Edited by M.Thoma and A.Wyner 155 M. Bouvet, G. Bienvenu (Eds.) High-Resolution Methods in Underwater Acoustics Springer-Verlag Berlin Heidelberg NewYork
More informationTopics in Boundary Element
Topics in Boundary Element Research Edited by C. A. Brebbia Volume 7 Electrical Engineering Applications With 186 Figures and 11 Tables Springer-Verlag Berlin Heidelberg New York London Paris Tokyo Hong
More informationStatistics of Random Processes
Robert S. Liptser Albert N. Shiryaev Statistics of Random Processes II. Applications Translated by A. B. Aries Translation Editor: Stephen S. Wilson Second, Revised and Expanded Edition Springer Authors
More informationSINGULARITIES OF LOW DEGREE COMPLETE INTERSECTIONS
METHODS AND APPLICATIONS OF ANALYSIS. c 2017 International Press Vol. 24, No. 1, pp. 099 104, March 2017 007 SINGULARITIES OF LOW DEGREE COMPLETE INTERSECTIONS SÁNDOR J. KOVÁCS Dedicated to Henry Laufer
More informationGENERIC TORELLI THEOREM FOR QUINTIC-MIRROR FAMILY. Sampei Usui
GENERIC TORELLI THEOREM FOR QUINTIC-MIRROR FAMILY Sampei Usui Abstract. This article is a geometric application of polarized logarithmic Hodge theory of Kazuya Kato and Sampei Usui. We prove generic Torelli
More informationLecture Notes in Mathematics
Lecture Notes in Mathematics Edited by A. Dold and B. Eckmann 905 Differential Geometric Methods in Mathematical Physics Clausthal 1980 Proceedings of an International Conference Held at the Technical
More informationON STABILITY OF NON-DOMINATION UNDER TAKING PRODUCTS
ON STABILITY OF NON-DOMINATION UNDER TAKING PRODUCTS D. KOTSCHICK, C. LÖH, AND C. NEOFYTIDIS ABSTRACT. We show that non-domination results for targets that are not dominated by products are stable under
More informationMixed Hodge Structures
Chris Peters Université Joseph Fourier, Jozef Steenbrink Radboud Universiteit Nijmegen Mixed Hodge Structures Ergebnisse der Mathematik January 11, 2007 Springer Berlin Heidelberg NewYork Hong Kong London
More informationIf F is a divisor class on the blowing up X of P 2 at n 8 general points p 1,..., p n P 2,
Proc. Amer. Math. Soc. 124, 727--733 (1996) Rational Surfaces with K 2 > 0 Brian Harbourne Department of Mathematics and Statistics University of Nebraska-Lincoln Lincoln, NE 68588-0323 email: bharbourne@unl.edu
More informationLandolt-Börnstein / New Series
Landolt-Börnstein / New Series Landolt-Börnstein Numerical Data and Functional Relationships in Science and Technology New Series Editor in Chief: W. Martienssen Units and Fundamental Constants in Physics
More informationLecture Notes in Earth Sciences. Editors: S. Bhattacharji, Brooklyn G. M. Friedman, Brooklyn and Troy H. J. Neugebauer, Bonn A. Seilacher, Tuebingen
Lecture Notes in Earth Sciences Editors: S. Bhattacharji, Brooklyn G. M. Friedman, Brooklyn and Troy H. J. Neugebauer, Bonn A. Seilacher, Tuebingen 42 Antonio Cendrero Gerd Ltittig Fredrik Chr. Wolff (Eds.)
More informationSpringer Berlin Heidelberg New York Barcelona Budapest Hong Kong London Milan Paris Santa Clara Singapore Tokyo
Springer Berlin Heidelberg New York Barcelona Budapest Hong Kong London Milan Paris Santa Clara Singapore Tokyo J. M. RUeger Electronic Distance Measurement An Introduction Fourth Edition With 56 Figures
More informationParameter Estimation and Hypothesis Testing in Linear Models
Parameter Estimation and Hypothesis Testing in Linear Models Springer-Verlag Berlin Heidelberg GmbH Karl-Rudolf Koch Parameter Estimation and Hypothesis Testing in Linear Models Second, updated and enlarged
More informationHodge Theory of Maps
Hodge Theory of Maps Migliorini and de Cataldo June 24, 2010 1 Migliorini 1 - Hodge Theory of Maps The existence of a Kähler form give strong topological constraints via Hodge theory. Can we get similar
More informationHYPERKÄHLER MANIFOLDS
HYPERKÄHLER MANIFOLDS PAVEL SAFRONOV, TALK AT 2011 TALBOT WORKSHOP 1.1. Basic definitions. 1. Hyperkähler manifolds Definition. A hyperkähler manifold is a C Riemannian manifold together with three covariantly
More informationClassics in Mathematics Lars Hormander. The Analysis of Linear Partial Differential Operators I
Classics in Mathematics Lars Hormander The Analysis of Linear Partial Differential Operators I Born on January 24,1931, on the southern coast of Sweden, Lars Hormander did his secondary schooling as well..
More informationExperimental Techniques in Nuclear and Particle Physics
Experimental Techniques in Nuclear and Particle Physics Stefaan Tavernier Experimental Techniques in Nuclear and Particle Physics 123 Prof. Stefaan Tavernier Vrije Universiteit Brussel Fak. Wetenschappen
More information1000 Solved Problems in Classical Physics
1000 Solved Problems in Classical Physics Ahmad A. Kamal 1000 Solved Problems in Classical Physics An Exercise Book 123 Dr. Ahmad A. Kamal Silversprings Lane 425 75094 Murphy Texas USA anwarakamal@yahoo.com
More informationLecture Notes in Mathematics 2156
Lecture Notes in Mathematics 2156 Editors-in-Chief: J.-M. Morel, Cachan B. Teissier, Paris Advisory Board: Camillo De Lellis, Zurich Mario di Bernardo, Bristol Alessio Figalli, Austin Davar Khoshnevisan,
More informationGünter Zschornack Handbook of X-Ray Data
Günter Zschornack Handbook of X-Ray Data Günter Zschornack Handbook of X-Ray Data With 113 Figures and 161 Tables 123 Ass.-Prof. Dr. rer. nat. habil. Günter Zschornack Technische Universität Dresden Institut
More informationBasic Algebraic Geometry 1
Igor R. Shafarevich Basic Algebraic Geometry 1 Second, Revised and Expanded Edition Springer-Verlag Berlin Heidelberg New York London Paris Tokyo HongKong Barcelona Budapest Table of Contents Volume 1
More informationAdvanced Courses in Mathematics CRM Barcelona
Advanced Courses in Mathematics CRM Barcelona Centre de Recerca Matemàtica Managing Editor: Carles Casacuberta More information about this series at http://www.springer.com/series/5038 Giovanna Citti Loukas
More informationMANFREDO P. do CARMO. Selected Papers
MANFREDO P. do CARMO Selected Papers Manfredo do Carmo, 2003 Photograph by Suely Lima MANFREDO P. do CARMO Selected Papers Edited by Keti Tenenblat 123 Manfredo P. do Carmo Instituto de Matemática PuraeAplicada(IMPA)
More informationLecture Notes in Physics
Lecture Notes in Physics Edited by H. Araki, Kyoto, J. Ehlers, M(Jnchen, K. Hepp, Z~rich R. Kippenhahn, MLinchen, H. A. Weidenmeller, Heidelberg and J. Zittartz, K61n 190 Karl Kraus States, Effects, and
More informationThiS is a FM Blank Page
Acid-Base Diagrams ThiS is a FM Blank Page Heike Kahlert Fritz Scholz Acid-Base Diagrams Heike Kahlert Fritz Scholz Institute of Biochemistry University of Greifswald Greifswald Germany English edition
More informationMathematical Formulas for Economists
Mathematical Formulas for Economists Springer-Verlag Berlin Heidelberg GmbH Bernd Luderer. Volker Nollau Klaus Vetters Mathematical Formulas for Economists With 58 Figures and 6 Tables, Springer Professor
More informationNuclear Magnetic Resonance Data
Landolt-Börnstein Numerical Data and Functional Relationships in Science and Technology New Series / Editor in Chief: W. Martienssen Group III: Condensed Matter Volume 35 Nuclear Magnetic Resonance Data
More informationReactivity and Structure Concepts in Organic Chemistry
Reactivity and Structure Concepts in Organic Chemistry Volume T1 Editors: Klaus Hafner Charles W Rees Barry M. Trost Jean-Marie Lehn P. von Rague Schleyer Rudolf Zahradnik Steven V. Ley Caroline M. R.
More informationCANONICAL METRICS AND STABILITY OF PROJECTIVE VARIETIES
CANONICAL METRICS AND STABILITY OF PROJECTIVE VARIETIES JULIUS ROSS This short survey aims to introduce some of the ideas and conjectures relating stability of projective varieties to the existence of
More informationNuclear Magnetic Resonance Data
Landolt-Börnstein Numerical Data and Functional Relationships in Science and Technology New Series / Editor in Chief: W. Martienssen Group III: Condensed Matter Volume 35 Nuclear Magnetic Resonance Data
More informationStochastic Optimization Methods
Stochastic Optimization Methods Kurt Marti Stochastic Optimization Methods With 14 Figures 4y Springer Univ. Professor Dr. sc. math. Kurt Marti Federal Armed Forces University Munich Aero-Space Engineering
More informationLecture 1. Toric Varieties: Basics
Lecture 1. Toric Varieties: Basics Taras Panov Lomonosov Moscow State University Summer School Current Developments in Geometry Novosibirsk, 27 August1 September 2018 Taras Panov (Moscow University) Lecture
More informationErgebnisse der Mathematik Volume 52 und ihrer Grenzgebiete
Ergebnisse der Mathematik Volume 52 und ihrer Grenzgebiete 3. Folge A Series of Modern Surveys in Mathematics Editorial Board S. Feferman, Stanford M. Gromov, Bures-sur-Yvette J. Jost, Leipzig J. Kollár,
More informationThe shape of an algebraic variety
The shape of an algebraic variety 68 th Kuwait Foundation Lecture University of Cambridge, November 1st, 2007 Carlos T. Simpson C.N.R.S., Laboratoire J. A. Dieudonné Université de Nice-Sophia Antipolis
More informationLecture Notes in Physics
Heidelberg New.York Lecture Notes in Physics Edited by J. Ehlers, Mtinchen, K. Hepp, Ztirich and H. A. Weidenmiiller, Heidelberg Managing Editor: W. Beiglback, Heidelberg 13 Michael Ryan University of
More informationRESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES RIMS A Note on an Anabelian Open Basis for a Smooth Variety. Yuichiro HOSHI.
RIMS-1898 A Note on an Anabelian Open Basis for a Smooth Variety By Yuichiro HOSHI January 2019 RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES KYOTO UNIVERSITY, Kyoto, Japan A Note on an Anabelian Open Basis
More informationFiltrations by complete ideals and applications
Collect. Math. 49, 2 3 (1998), 265 272 c 1998 Universitat de Barcelona Filtrations by complete ideals and applications E. Casas Alvero Departament d Àlgebra i Geometria, Universitat de Barcelona Gran Via
More informationLecture Notes in Physics
Lecture Notes in Physics Edited by J. Ehlers, Miinchen, K. Hepp, Zijrich R. Kippenhahn, Miinchen, H. A. Weidenmiiller, Heidelberg and J. Zittartz, Kijln Managing Editor: W. Beiglbijck, Heidelberg 120 Nonlinear
More informationGeneralized Tian-Todorov theorems
Generalized Tian-Todorov theorems M.Kontsevich 1 The classical Tian-Todorov theorem Recall the classical Tian-Todorov theorem (see [4],[5]) about the smoothness of the moduli spaces of Calabi-Yau manifolds:
More informationDifferential-Algebraic Equations Forum
Differential-Algebraic Equations Forum Editors-in-Chief Achim Ilchmann (TU Ilmenau, Ilmenau, Germany) Timo Reis (Universität Hamburg, Hamburg, Germany) Editorial Board Larry Biegler (Carnegie Mellon University,
More informationRade Westergren Mathematics Handbook
Rade Westergren Mathematics Handbook Springer-Verlag Berlin Heidelberg GmbH Lennart Rade Bertil Westergren Mathematics Handbook for Science and Engineering Fourth Edition Springer ~ Studentlitteratur Lennart
More informationLecture Notes in Economics and Mathematical Systems
Lecture Notes in Economics and Mathematical Systems 524 Founding Editors: M. Beckmann H. P. Ktinzi Managing Editors: Prof. Dr. G. Fandel Fachbereich Wirtschaftswissenschaften Femuniversitiit Hagen Feithstr.
More informationFundamentals of Mass Determination
Fundamentals of Mass Determination Michael Borys Roman Schwartz Arthur Reichmuth Roland Nater Fundamentals of Mass Determination 123 Michael Borys Fachlabor 1.41 Physikalisch-Technische Bundesanstalt Bundesallee
More informationLecture Notes in Engineering
Lecture Notes in Engineering The Springer-Verlag Lecture Notes provide rapid (approximately six months), refereed publication of topical items, longer than ordinary journal articles but shorter and less
More informationKleine AG: Travaux de Shimura
Kleine AG: Travaux de Shimura Sommer 2018 Programmvorschlag: Felix Gora, Andreas Mihatsch Synopsis This Kleine AG grew from the wish to understand some aspects of Deligne s axiomatic definition of Shimura
More informationRigidity of Teichmüller curves
Rigidity of Teichmüller curves Curtis T. McMullen 11 September, 2008 Let f : V M g be a holomorphic map from a Riemann surface of finite hyperbolic volume to the moduli space of compact Riemann surfaces
More informationProgress in Colloid & Polymer Science. Vol. 75
Progress in Colloid & Polymer Science. Vol. 75 PROGRESS IN COLLOID & POLYMER SCIENCE Editors" H.-G. Kilian (Ulm) and G. Lagaly (Kiel) Volume 75 (1987) Permanent and Transient Networks Guest Editors" M.
More informationLECTURE 1. ZETA FUNCTIONS: AN OVERVIEW
LECTURE 1. ZETA FUNCTIONS: AN OVERVIEW Zeta functions encode the counting of certain objects of geometric, algebraic, or arithmetic behavior. What distinguishes them from other generating series are special
More informationDeligne s Mixed Hodge Structure for Projective Varieties with only Normal Crossing Singularities
Deligne s Mixed Hodge Structure for Projective Varieties with only Normal Crossing Singularities B.F Jones April 13, 2005 Abstract Following the survey article by Griffiths and Schmid, I ll talk about
More informationOsaka Journal of Mathematics. 37(2) P.1-P.4
Title Katsuo Kawakubo (1942 1999) Author(s) Citation Osaka Journal of Mathematics. 37(2) P.1-P.4 Issue Date 2000 Text Version publisher URL https://doi.org/10.18910/4128 DOI 10.18910/4128 rights KATSUO
More informationLandolt-Börnstein Numerical Data and Functional Relationships in Science and Technology New Series / Editor in Chief: W.
Landolt-Börnstein Numerical Data and Functional Relationships in Science and Technology New Series / Editor in Chief: W. Martienssen Group VIII: Advanced Materials and Technologies Volume 6 Polymers Subvolume
More informationConstructional Morphology and Evolution
N. Schmidt-Kittler' K. Vogel (Eds.) Constructional Morphology and Evolution With 147 Figures Springer-Verlag Berlin Heidelberg New York London Paris Tokyo Hong Kong Barcelona Budapest Prof. Dr. NORBERT
More information1 Moduli spaces of polarized Hodge structures.
1 Moduli spaces of polarized Hodge structures. First of all, we briefly summarize the classical theory of the moduli spaces of polarized Hodge structures. 1.1 The moduli space M h = Γ\D h. Let n be an
More informationTianyou Fan. Mathematical Theory of Elasticity of Quasicrystals and Its Applications
Tianyou Fan Mathematical Theory of Elasticity of Quasicrystals and Its Applications Tianyou Fan Mathematical Theory of Elasticity of Quasicrystals and Its Applications With 82 figures Author Tianyou Fan
More informationinverse problems and theoretical imaging
inverse problems and theoretical imaging 1.M. Combes A. Grossmann Ph. Tchamitchian (Eds.) Wavelets Time-Frequency Methods and Phase Space Proceedings of the International Conference, Marseille, France,
More informationComputer Algorithms for Solving Linear Algebraic Equations. The State of the Art
Computer Algorithms for Solving Linear Algebraic Equations The State of the Art NATO ASI Series Advanced Science Institutes Series A series presenting the results of activities sponsored by the NATO Science
More informationFundamental groups, polylogarithms, and Diophantine
Fundamental groups, polylogarithms, and Diophantine geometry 1 X: smooth variety over Q. So X defined by equations with rational coefficients. Topology Arithmetic of X Geometry 3 Serious aspects of the
More informationHomotopical Algebra Summer Day in Barcelona 2012
Homotopical Algebra Summer Day in Barcelona 2012 MTM2010-15831 Barcelona, 13 July, 2012 1 Homotopical Algebra Summer Day in Barcelona A day of talks and informal exchange held at the IMUB research centre
More informationLecture Notes of 12 the Unione Matematica Italiana
Lecture Notes of 12 the Unione Matematica Italiana For further volumes: http://www.springer.com/series/7172 Editorial Board Franco Brezzi (Editor in Chief) IMATI-CNR Via Ferrata 5a 27100 Pavia, Italy e-mail:
More informationThe Grothendieck-Katz Conjecture for certain locally symmetric varieties
The Grothendieck-Katz Conjecture for certain locally symmetric varieties Benson Farb and Mark Kisin August 20, 2008 Abstract Using Margulis results on lattices in semi-simple Lie groups, we prove the Grothendieck-
More informationGeometric motivic integration
Université Lille 1 Modnet Workshop 2008 Introduction Motivation: p-adic integration Kontsevich invented motivic integration to strengthen the following result by Batyrev. Theorem (Batyrev) If two complex
More informationMorse Theory and Applications to Equivariant Topology
Morse Theory and Applications to Equivariant Topology Morse Theory: the classical approach Briefly, Morse theory is ubiquitous and indomitable (Bott). It embodies a far reaching idea: the geometry and
More informationInvariance Theory, the Heat Equation, and the Atiyah-Singer Index Theorem
PETER B. GILKEY Department of Mathematics, University of Oregon Invariance Theory, the Heat Equation, and the Atiyah-Singer Index Theorem Second Edition CRC PRESS Boca Raton Ann Arbor London Tokyo Contents
More informationRICHARD HAIN. To Wilfred Schmid on the occasion of this 60th birthday
PERIODS OF LIMIT MIXED HODGE STRUCTURES arxiv:math/0305090v1 [math.ag] 6 May 2003 RICHARD HAIN To Wilfred Schmid on the occasion of this 60th birthday 1. Introduction The first goal of this paper is to
More information