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Algebraic Geometry and Number Theory

Summer School, Galatasaray University, Istanbul, 2014

Birkhäuser

Editors:

(view affiliations)
  • Provides an introduction to several contemporary research topics in algebraic geometry and number theory given by leading experts

  • Gives a clear and motivating exposition through numerous examples and exercises

  • Presents a modern treatment and new points of view on classical subjects

Part of the book series: Progress in Mathematics (PM, volume 321)

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  • ISBN: 978-3-319-47779-4
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USD 119.99
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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xi
  2. The Birational Geometry of Moduli Spaces

    • İzzet Coşkun
    Pages 29-54
  3. The Riemann–Roch Theorem in Arakelov Geometry

    • Gerard Freixas i Montplet
    Pages 91-133
  4. Computing the Gysin Map Using Fixed Points

    • Loring W. Tu
    Pages 135-160
  5. On l-adic Galois L-functions

    • Zdzisław Wojtkowiak
    Pages 161-209
  6. Class Number Problems and Lang Conjectures

    • Ayberk Zeytin
    Pages 211-232

About this book

This lecture notes volume presents significant contributions from the “Algebraic Geometry and Number Theory” Summer School, held at Galatasaray University, Istanbul, June 2-13, 2014.

It addresses subjects ranging from Arakelov geometry and Iwasawa theory to classical projective geometry, birational geometry and equivariant cohomology. Its main aim is to introduce these contemporary research topics to graduate students who plan to specialize in the area of algebraic geometry and/or number theory. All contributions combine main concepts and techniques with motivating examples and illustrative problems for the covered subjects. Naturally, the book will also be of interest to researchers working in algebraic geometry, number theory and related fields.

Keywords

  • Arakelov geometry
  • arithmetic intersection theory
  • arithmetic Chow groups
  • ample cone
  • binary quadratic forms
  • class number problems
  • cubic three-folds
  • Dirichlet L-series
  • Galois L-functions
  • Hilbert scheme of points

Editors and Affiliations

  • Institut de Mathématiques de Jussieu, Université Paris-Diderot, France

    Hussein Mourtada

  • Department of Mathematics, Dokuz Eylül University, Buca, Turkey

    Celal Cem Sarıoğlu

  • Institut des Hautes Études Scientifiques , Bures-sur-Yvette, France

    Christophe Soulé

  • Department of Mathematics, Galatasaray University, Istanbul, Turkey

    Ayberk Zeytin

Bibliographic Information

Buying options

eBook
USD 89.00
Price excludes VAT (USA)
  • ISBN: 978-3-319-47779-4
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD 119.99
Price excludes VAT (USA)
Hardcover Book
USD 119.99
Price excludes VAT (USA)