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Higher Dimensional Varieties and Rational Points

  • Károly BöröczkyJr.
  • János Kollár
  • Tamás Szamuely

Part of the Bolyai Society Mathematical Studies book series (BSMS, volume 12)

Table of contents

  1. Front Matter
    Pages I-5
  2. Introduction

    1. Károly Böröczky Jr., János Kollár, Tamás Szamuely
      Pages 7-8
  3. Acknowledgments

    1. Károly Böröczky Jr., János Kollár, Tamás Szamuely
      Pages 9-9
  4. Geometry

    1. Front Matter
      Pages 11-11
    2. Carolina Araujo, János Kollár
      Pages 13-68
    3. Olivier Debarre
      Pages 93-132
  5. Arithmetic

    1. Front Matter
      Pages 169-169
    2. Jean-Louis Colliot-Thélène
      Pages 171-221
    3. Yuri Tschinkel
      Pages 283-310

About this book

Introduction

 

Exploring the connections between arithmetic and geometric properties of algebraic varieties has been the object of much fruitful study for a long time, especially in the case of curves. The aim of the Summer School and Conference on "Higher Dimensional Varieties and Rational Points" held in Budapest, Hungary during September 2001 was to bring together students and experts from the arithmetic and geometric sides of algebraic geometry in order to get a better understanding of the current problems, interactions and advances in higher dimension. The lecture series and conference lectures assembled in this volume give a comprehensive introduction to students and researchers in algebraic geometry and in related fields to the main ideas of this rapidly developing area.

Keywords

Abelian varieties and schemes Area Heights Homotopy theory, fundamental groups Rational points Volume algebraic varieties

Editors and affiliations

  • Károly BöröczkyJr.
    • 1
  • János Kollár
    • 2
  • Tamás Szamuely
    • 1
  1. 1.Alfréd Rényi Institute of MathematicsHungarian Academy of SciencesBudapestHungary
  2. 2.Department of MathematicsPrinceton UniversityPrincetonUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-05123-8
  • Copyright Information Springer-Verlag Berlin Heidelberg 2003
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-05644-4
  • Online ISBN 978-3-662-05123-8
  • Series Print ISSN 1217-4696
  • Buy this book on publisher's site