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  • Textbook
  • © 2005

Geometric Methods in Algebra and Number Theory

Birkhäuser
  • Contains a selection of articles exploring geometric approaches to problems in algebra, algebraic geometry and number theory

  • The collection gives a representative sample of problems and most recent results in algebraic and arithmetic geometry

  • Text can serve as an intense introduction for graduate students and those wishing to pursue research in algebraic and arithmetic geometry

Part of the book series: Progress in Mathematics (PM, volume 235)

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  • ISBN: 978-0-8176-4417-8
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Table of contents (15 chapters)

  1. Front Matter

    Pages i-viii
  2. Beauville surfaces without real structures

    • Ingrid Bauer, Fabrizio Catanese, Fritz Grunewald
    Pages 1-42
  3. Couniformization of curves over number fields

    • Fedor Bogomolov, Yuri Tschinkel
    Pages 43-57
  4. On the V-filtration of $$D$$ -modules

    • Nero Budur
    Pages 59-70
  5. Hecke orbits on Siegel modular varieties

    • Ching-Li Chai
    Pages 71-107
  6. Ax-Kochen-Eršov Theorems for p-adic integrals and motivic integration

    • Raf Cluckers, François Loeser
    Pages 109-137
  7. Nested sets and Jeffrey-Kirwan residues

    • Corrado De Concini, Claudio Procesi
    Pages 139-149
  8. Motivic approach to limit sheaves

    • Markus Spitzweck
    Pages 283-302
  9. Counting points on cubic surfaces, II

    • Peter Swinnerton-Dyer
    Pages 303-309
  10. Quantum cohomology of isotropic Grassmannians

    • Harry Tamvakis
    Pages 311-338

Keywords

  • Area
  • Cohomology
  • Volume
  • algebra
  • moduli space
  • number theory

Reviews

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)

Editors and Affiliations

  • Department of Mathematics Courant Institute of Mathematical Sciences, New York University, New York, USA

    Fedor Bogomolov

  • Department of Mathematics, Princeton University, Princeton, USA

    Yuri Tschinkel

Bibliographic Information

Buying options

eBook USD 79.99
Price excludes VAT (USA)
  • ISBN: 978-0-8176-4417-8
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Hardcover Book USD 99.99
Price excludes VAT (USA)