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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

  • Book
  • © 1993

Overview

Authors:
  1. Jean-Louis Colliot-Thélène
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  2. Kazuya Kato
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  3. Paul Vojta
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Editors:
  1. Edoardo Ballico
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1553)

Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)

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Table of contents (4 chapters)

  1. Front Matter

    Pages I-V
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  2. Cycles algébriques de torsion et K-théorie algébrique Cours au C.I.M.E., juin 1991

    • Jean-Louis Colliot-Thélène
    Pages 1-49

  3. Lectures on the approach to Iwasawa theory for Hasse-Weil L-functions via BdR. Part I

    • Kazuya Kato
    Pages 50-163

  4. Applications of arithmetic algebraic geometry to diophantine approximations

    • Paul Vojta
    Pages 164-208

  5. Erratum

    • Jean-Louis Colliot-Thélène, Kazuya Kato, Paul Vojta
    Pages e1-e2

  6. Back Matter

    Pages 209-210
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Keywords

About this book

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.

Bibliographic Information

  • Book Title: Arithmetic Algebraic Geometry

  • Book Subtitle: 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

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0084727

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1993

  • Softcover ISBN: 978-3-540-57110-0Published: 29 September 1993

  • eBook ISBN: 978-3-540-47909-3Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: X, 226

  • Topics: Algebraic Geometry, Number Theory

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