Jean-Paul Brasselet on his 60 th birthday

Size: px

Start display at page:

Download "Jean-Paul Brasselet on his 60 th birthday"

Roxanne Robinson
6 years ago
Views:

1 Proceedings of the 2005 Marseille Singularity School and Conference SINGULARITY THEORY Jean-Paul Brasselet on his 60 th birthday CIRM, Marseille, France 24 January - 25 February 2005 Editors Denis Cheniot Nicolas Dutertre Claudio Murolo David Trotman University of Provence, France Anne Pichon University of Mediterranee, France C SCIENCES AJX-»«RSEIUEII UNIVERSITY World Scientific NEW JERSEY LONDON SINGAPORE BEIJING SHANGHAI HONG KONG TAIPEI CHENNAI

2 CONTENTS Introduction vii Part I: Five Courses on Singularity Theory 1 The Schwartz Classes of Complex Analytic Singular Varieties Jean-Paul Brasselet 3 Desingularization of Ideals and Varieties Herwig Hauser 33 Lectures on Topology of Complements and Fundamental Groups A. Libgober 71 Lectures on Real Stratification Theory David Trotman 139 Lagrangian and Legendrian Singularities F. V. Goryunov and V. M. Zakalyukin 157 Part II: Applications of Singularity Theory 187 Singularities of Robot Manipulators P. S. Donelan 189 Singularity and Stratification Theory Applied to Dynamical Systems Michael Field 219 Differential Geometry from the View Point of Lagrangian or Legendrian Singularity Theory Shyuichi Izumiya 241 Caustics and Visualization Techniques A. Joets 277 Singularities and Genericity in Medical Imaging: Old and New Yannick L. Kergosien 285 xiii

3 xiv Geometric Contacts and 2-Regularity of Surfaces in Euclidean Space Maria Del Carmen Romero-Fuster 307 Geometry of Resonance Tongues Henk W. Broer, Martin Golubitsky and Gert Vegter 327 Generic Singularities of Surfaces Y. Yomdin 357 Part III: Geometry and Topology of Singularities 377 Hodge-Riemann Relations for Polytopes: A Geometric Approach Gottfried Barthel, Ludger Kaup, J.-P. Brasselet and Karl-Heinz Fieseler 379 On Rational Cuspidal Plane Curves, Open Surfaces and Local Singularities J. Fernandez de Bobadilla, I. Luengo, A. Melle-Hernandez and A. Nemethi 411 A Homological Approach to Singular Reduction in Deformation Quantization Martin Bordemann, Hans-Christian Herbig and Markus J. Pflaum 443 Differentiability and Composite Functions S. Bromberg and S. Lopez de Medrano 463 Contact Structures and Non-Isolated Singularities Clement Caubel 475 On Local Reduction Theorems for Singular Symplectic Forms on a 4-Dimensional Manifold W. Domitrz 487 Devissage de la forme de Seifert Entiere des Germes de Courbe Plane a Deux Branches Philippe Du Bois et Emmanuel Robin 503

4 XV Chern Obstructions for Collections of 1-Forms on Singular Varieties W. Ebeling and S. M. Gusein-Zade 557 The Finite Generation of the Monoid of Effective Divisor Classes on Platonic Rational Surfaces G. Failla, M. Lahyane and G. Molica Bisci 565 An Application of Resolution of Singularities: Computing the Topological -Function of Isolated Surface Singularities in (C 3,0) Anne Friihbis-Kruger 577 Global Properties of Integrable Implicit Hamiltonian Systems Takuo Fukuda and Stanislaw Janeczko 593 Motivic Vanishing Cycles and Applications Gil Guibert 613 Complements of Hypersurfaces and Equisingularity H. A. Hamm 625 A General Image Computing Spectral Sequence Kevin Houston 651 Generic Sections of Singularities Li Dung Trdng 677 Morse-Smale-Witten Complex for Gradient-Like Vector Fields on Stratified Spaces Ursula Ludwig 683 Some Obstructed Equisingular Familis of Curves on Surfaces in P 3 Thomas Markwig 715 On the Alexander Invariants of Hypersurface Complements Laurentiu Maxim 725 The Boundary of the Milnor Fiber of Hirzebruch Surface Singularities Francoise Michel, Anne Pichon and Claude Weber 745

5 XVI A Survey on Stratified Transversality Claudio Murolo 761 Graph 3-Manifolds, Splice Diagrams, Singularities Walter D. Neumann 787 Rigid Geometry and the Monodromy Conjecture Johannes Nicaise and Julien Sebag 819 Zariski Pairs on Sextics II Mutsuo Oka 837 A Survey of Characteristic Classes of Singular Spaces Jorg Schurmann and Shoji Yokura 865 Indices of Vector Fields on Singular Varieties: An Overview Jose Seade 953 Direct Connections and Chern Character Nicolae Teleman 977 Logarithmic Comparison Theorem and P-Modules: An Overview Tristan Torrelli 995 On Torsion in Homology of Singular Toric Varieties Andrzej Weber Centre Symmetry Sets and Other Invariants of Algebraic Sets Mariusz Zajac 1019 Pictures of the Participants 1031 Programs 1041 List of Participants 1051

Submanifolds of. Total Mean Curvature and. Finite Type. Bang-Yen Chen. Series in Pure Mathematics Volume. Second Edition.

Submanifolds of. Total Mean Curvature and. Finite Type. Bang-Yen Chen. Series in Pure Mathematics Volume. Second Edition. le 27 AIPEI CHENNAI TAIPEI - Series in Pure Mathematics Volume 27 Total Mean Curvature and Submanifolds of Finite Type Second Edition Bang-Yen Chen Michigan State University, USA World Scientific NEW JERSEY