ENGLISH

Geometric methods in algebra and number theory

By Bogomolov , Yuri (eds.) , Fedor; Tschinkel

Book information

Publisher
Birkhauser;Springer
Year
2005
ISBN
9780817644178, 0817644172, 0-8176-4349-4
Language
english
Format
PDF
Filesize
3 MB (2706687 bytes)
Pages
364\365
Topic
Mathematics Algebra
Library
kolxo3
Time added
2019-04-25 18:00:00
Algebra.;GeometryAlgebraic.;Number theory.;Mathematics.;Algebraic G

Description

The transparency and power of geometric constructions has been a source of inspiration to generations of mathematicians. The beauty and persuasion of pictures, communicated in words or drawings, continues to provide the intuition and arguments for working with complicated concepts and structures of modern mathematics. This volume contains a selection of articles exploring geometric approaches to problems in algebra, algebraic geometry and number theory. Key topics include:- Curves and their Jacobians- Algebraic surfaceModuli spaces, Shimura varieties- Motives and motivic integration- Number-the.  Read more... Abstract: The transparency and power of geometric constructions has been a source of inspiration to generations of mathematicians. The beauty and persuasion of pictures, communicated in words or drawings, continues to provide the intuition and arguments for working with complicated concepts and structures of modern mathematics. This volume contains a selection of articles exploring geometric approaches to problems in algebra, algebraic geometry and number theory. Key topics include:- Curves and their Jacobians- Algebraic surfaceModuli spaces, Shimura varieties- Motives and motivic integration- Number-the Content: Beauville surfaces without real structures -- Couniformization of curves over number fields -- On the V-filtration of -modules -- Hecke orbits on Siegel modular varieties -- Ax-Kochen-Eršov Theorems for p-adic integrals and motivic integration -- Nested sets and Jeffrey-Kirwan residues -- Counting extensions of function fields with bounded discriminant and specified Galois group -- Classical and minimal models of the moduli space of curves of genus two -- Mirror symmetry and Langlands duality in the non-Abelian Hodge theory of a curve -- Mahler measure for dynamical systems on?1 and intersection theory on a singular arithmetic surface -- A Combination of the Conjectures of Mordell-Lang and André-Oort -- Motivic approach to limit sheaves -- Counting points on cubic surfaces, II -- Quantum cohomology of isotropic Grassmannians -- Endomorphism algebras of superelliptic jacobians.

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