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We hereby certify that, Alex Correa Abreu, Instituto de Matematica Pura e Aplicada, participated in the 10 th ALGA Meeting Algebraic Geometry and Commutative Algebra, held at IMPA, Rio de Janeiro - RJ, from July 05 to 09, 2010 and presented the following work: Wronskian Classes on the Moduli Space of Curves.

We hereby certify that, Alicia Dickenstein, Universidad de Buenos Aires, participated in the 10 th ALGA Meeting Algebraic Geometry and Commutative Algebra, held at IMPA, Rio de Janeiro - RJ, from July 05 to 09, 2010 and presented the following work: The structure of smooth lattice polytopes with high codegree.

We hereby certify that, André Luís Contiero, Universidade Federal de Alagoas, participated in the 10 th ALGA Meeting Algebraic Geometry and Commutative Algebra, held at IMPA, Rio de Janeiro - RJ, from July 05 to 09, 2010 and presented the following work: Upper Bounds for the Dimension of Moduli Space of Pointed Curves with Prescribed Gap Sequence.

We hereby certify that, Arnaldo Leite Pinto Garcia, Instituto de Matematica Pura e Aplicada, participated in the 10 th ALGA Meeting Algebraic Geometry and Commutative Algebra, held at IMPA, Rio de Janeiro - RJ, from July 05 to 09, 2010 and presented the following work: On constructions of towers over finite fields.

We hereby certify that, Arnaud Beauville, Universite de Nice, participated in the 10 th ALGA Meeting Algebraic Geometry and Commutative Algebra, held at IMPA, Rio de Janeiro - RJ, from July 05 to 09, 2010 and presented the following work: The Brauer group of Enriques surfaces.

We hereby certify that, Carlet, Claude, Universite de Paris VIII, participated in the 10 th ALGA Meeting Algebraic Geometry and Commutative Algebra, held at IMPA, Rio de Janeiro - RJ, from July 05 to 09, 2010 and presented the following work: Highly Nonlinear Filter Boolean Functions with High Algebraic Immunity for Stream Ciphers.

We hereby certify that, Carlos D'Andrea, Universitat de Barcelona, participated in the 10 th ALGA Meeting Algebraic Geometry and Commutative Algebra, held at IMPA, Rio de Janeiro - RJ, from July 05 to 09, 2010 and presented the following work: Computing singularities of rational curves.

We hereby certify that, Cícero Fernandes de Carvalho, Universidade Federal de Uberlândia, participated in the 10 th ALGA Meeting Algebraic Geometry and Commutative Algebra, held at IMPA, Rio de Janeiro - RJ, from July 05 to 09, 2010 and presented the following work: A reduced Groebner basis for the defining ideals of algebras which admits a complete set of near weights.

We hereby certify that, Enrique Reyes, Centro de Investigacion y Estudios Avanzados del Ipn, participated in the 10 th ALGA Meeting Algebraic Geometry and Commutative Algebra, held at IMPA, Rio de Janeiro - RJ, from July 05 to 09, 2010 and presented the following work: Toric Ideals of Combinatorial Structures.

We hereby certify that, Gabor Korchmaros, Universita Degli Studi della Basilicata, participated in the 10 th ALGA Meeting Algebraic Geometry and Commutative Algebra, held at IMPA, Rio de Janeiro - RJ, from July 05 to 09, 2010 and presented the following work: On Maximal Curves and their Automorphism Groups.

We hereby certify that, Hajime Kaji, Waseda University, participated in the 10 th ALGA Meeting Algebraic Geometry and Commutative Algebra, held at IMPA, Rio de Janeiro - RJ, from July 05 to 09, 2010 and presented the following work: Gauss maps in positive characteristic.

We hereby certify that, Henning Stichtenoth, Sabanci University, participated in the 10 th ALGA Meeting Algebraic Geometry and Commutative Algebra, held at IMPA, Rio de Janeiro - RJ, from July 05 to 09, 2010 and presented the following work: On the number of points on algebraic curves over finite fields.

We hereby certify that, Herivelto Martins Borges Filho, IMECC, participated in the 10 th ALGA Meeting Algebraic Geometry and Commutative Algebra, held at IMPA, Rio de Janeiro - RJ, from July 05 to 09, 2010 and presented the following work: Minimal value set polynomials and Frobenius non-classical curves.

We hereby certify that, Jesse Kass, University of Michigan, participated in the 10 th ALGA Meeting Algebraic Geometry and Commutative Algebra, held at IMPA, Rio de Janeiro - RJ, from July 05 to 09, 2010 and presented the following work: Local Structure of the Theta Divisor.

We hereby certify that, Jose Felipe Voloch, University of Texas, participated in the 10 th ALGA Meeting Algebraic Geometry and Commutative Algebra, held at IMPA, Rio de Janeiro - RJ, from July 05 to 09, 2010 and presented the following work: Elements of large order in finite fields.

We hereby certify that, Marcelo José Saia, USP - Instituto de Ciências Matemáticas e Computação São Carlos, participated in the 10 th ALGA Meeting Algebraic Geometry and Commutative Algebra, held at IMPA, Rio de Janeiro - RJ, from July 05 to 09, 2010 and presented the following work: A characterization of Newton non degenerate modules and multiplicities.

We hereby certify that, Marco Pacini, Universidade Federal Fluminense, participated in the 10 th ALGA Meeting Algebraic Geometry and Commutative Algebra, held at IMPA, Rio de Janeiro - RJ, from July 05 to 09, 2010 and presented the following work: On the second Abel map for a singular curves.

We hereby certify that, Marcos Jardim, IMECC, participated in the 10 th ALGA Meeting Algebraic Geometry and Commutative Algebra, held at IMPA, Rio de Janeiro - RJ, from July 05 to 09, 2010 and presented the following work: Perverse coherent sheaves on projective spaces.

We hereby certify that, Masaaki Homma, Kanagawa University, participated in the 10 th ALGA Meeting Algebraic Geometry and Commutative Algebra, held at IMPA, Rio de Janeiro - RJ, from July 05 to 09, 2010 and presented the following work: Sziklai conjecture on the number of points of a plane curve over a finite field..

We hereby certify that, Sebastian Casalaina-Martin, University of Coloardo at Boulder, participated in the 10 th ALGA Meeting Algebraic Geometry and Commutative Algebra, held at IMPA, Rio de Janeiro - RJ, from July 05 to 09, 2010 and presented the following work: Simultaneous stable reduction for curves with ADE singularities.

We hereby certify that, Steven L Kleiman, Massachusetts Institute of Technology, participated in the 10 th ALGA Meeting Algebraic Geometry and Commutative Algebra, held at IMPA, Rio de Janeiro - RJ, from July 05 to 09, 2010 and presented the following work: The Epsilon Multiplicity and Equisingularity.

We hereby certify that, Thiago Fassarella do Amaral, Universidade Federal Fluminense, participated in the 10 th ALGA Meeting Algebraic Geometry and Commutative Algebra, held at IMPA, Rio de Janeiro - RJ, from July 05 to 09, 2010 and presented the following work: Developable webs.