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Geometric Methods in Algebra and Number Theory

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From the reviews:

“This is a collection of articles on algebraic and arithmetic geometry most of which were presented at a conference that took place in Miami in December 2003. … this volume will be attractive for researchers and graduate students in arithmetic geometry. The surveys provided can serve as an introduction for them and offer guidance for further study.” (Ch. Baxa, Monatshefte für Mathematik, Vol. 152 (1), September, 2007)

Author(s): Ingrid Bauer, Fabrizio Catanese (auth.), Fedor Bogomolov, Yuri Tschinkel (eds.)
Series: Progress in Mathematics 235
Edition: 1
Publisher: Birkhäuser Basel
Year: 2005

Language: English
Pages: 362
City: Boston
Tags: Algebra; Algebraic Geometry; Number Theory; Geometry

Beauville surfaces without real structures....Pages 1-42
Couniformization of curves over number fields....Pages 43-57
On the V -filtration of $$D$$ -modules....Pages 59-70
Hecke orbits on Siegel modular varieties....Pages 71-107
Ax-Kochen-Eršov Theorems for p -adic integrals and motivic integration....Pages 109-137
Nested sets and Jeffrey-Kirwan residues....Pages 139-149
Counting extensions of function fields with bounded discriminant and specified Galois group....Pages 151-168
Classical and minimal models of the moduli space of curves of genus two....Pages 169-192
Mirror symmetry and Langlands duality in the non-Abelian Hodge theory of a curve....Pages 193-217
Mahler measure for dynamical systems on ℙ 1 and intersection theory on a singular arithmetic surface....Pages 219-250
A Combination of the Conjectures of Mordell-Lang and André-Oort....Pages 251-282
Motivic approach to limit sheaves....Pages 283-302
Counting points on cubic surfaces, II....Pages 303-309
Quantum cohomology of isotropic Grassmannians....Pages 311-338
Endomorphism algebras of superelliptic jacobians....Pages 339-362