Arithmetic Algebraic Geometry

Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Trento, Italy, June 24–July 2, 1991

  • Authors
  • Jean-Louis Colliot-Thélène
  • Kazuya Kato
  • Paul Vojta
  • Editors
  • Edoardo Ballico
Book

Part of the Lecture Notes in Mathematics book series (LNM, volume 1553)

Table of contents

  1. Front Matter
    Pages I-V
  2. Jean-Louis Colliot-Thélène, Kazuya Kato, Paul Vojta
    Pages e1-e2
  3. Back Matter
    Pages 209-210

About this book

Introduction

This volume contains three long lecture series by J.L. Colliot-Thelene, Kazuya Kato and P. Vojta. Their topics are respectively the connection between algebraic K-theory and the torsion algebraic cycles on an algebraic variety, a new approach to Iwasawa theory for Hasse-Weil L-function, and the applications of arithemetic geometry to Diophantine approximation. They contain many new results at a very advanced level, but also surveys of the state of the art on the subject with complete, detailed profs and a lot of background. Hence they can be useful to readers with very different background and experience. CONTENTS: J.L. Colliot-Thelene: Cycles algebriques de torsion et K-theorie algebrique.- K. Kato: Lectures on the approach to Iwasawa theory for Hasse-Weil L-functions.- P. Vojta: Applications of arithmetic algebraic geometry to diophantine approximations.

Keywords

Algebraic Cycles Arakelov Theory Arithmetic Geometry Diophantine approximation L-functions algebraic varieties

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0084727
  • Copyright Information Springer-Verlag Berlin Heidelberg 1993
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-57110-0
  • Online ISBN 978-3-540-47909-3
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book