Geometric methods in algebra and number theory

✍ Scribed by Bogomolov, Fedor; Tschinkel, Yuri (eds.)

Publisher: Birkhauser;Springer
Year: 2005
Tongue: English
Leaves: 365
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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, 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

✦ Table of Contents

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.

✦ Subjects

Algebra.;Geometry, Algebraic.;Number theory.;Mathematics.;Algebraic Geometry.;Number Theory.;Geometry.

📜 SIMILAR VOLUMES

Geometric Methods in Algebra and Number

📁 Geometric Methods in Algebra and Number Theory

✍ Ingrid Bauer, Fabrizio Catanese (auth.), Fedor Bogomolov, Yuri Tschinkel (eds.) 📂 Library 📅 2005 🏛 Birkhäuser Basel 🌐 English

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 provide

Geometric methods in algebra and number

📁 Geometric methods in algebra and number theory

✍ Fedor Bogomolov; Yuri Tschinkel 📂 Library 📅 2005 🏛 Birkhäuser 🌐 English

p-Adic Methods in Number Theory and Alge

📁 p-Adic Methods in Number Theory and Algebraic Geometry

✍ Steven Sperber, Alan Adolphson, Steven Sperber, Alan Adolphson, Marvin Tretkoff 📂 Library 📅 1992 🏛 Amer Mathematical Society 🌐 English

Two meetings of the AMS in the fall of 1989 - one at the Stevens Institute of Technology and the other at Ball State University - included Special Sessions on the role of $p$-adic methods in number theory and algebraic geometry. This volume grew out of these Special Sessions. Drawn from a wide area

Algorithmic and Experimental Methods in

📁 Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory

✍ Gebhard Böckle, Wolfram Decker, Gunter Malle 📂 Library 📅 2017 🏛 Springer International Publishing 🌐 English

This book presents state-of-the-art research and survey articles that highlight work done within the Priority Program SPP 1489 “Algorithmic and Experimental Methods in Algebra, Geometry and Number Theory”, which was established and generously supported by the German Research Foundation (DFG) f

Number Theory and Algebraic Geometry

📁 Number Theory and Algebraic Geometry

✍ Miles Reid, Alexei Skorobogatov (eds.) 📂 Library 📅 2003 🏛 Cambridge University Press 🌐 English

Peter Swinnerton-Dyer's mathematical career encompasses more than 60 years' work of amazing creativity. This volume, dedicated to him on the occasion of his 75th birthday, provides contemporary insight into several subjects in which his influence has been notable. The contributions come from leading

Algorithmic methods in algebra and numbe

📁 Algorithmic methods in algebra and number theory

✍ Author Unknown 📂 Library 📅 1987 🏛 Academic Press 🌐 English