C.I.M.E. Foundation Subseries

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: Colliot-Thelene, Jean-Louis, Kato, Kazuya, Vojta, Paul

Editors: Ballico, Edoardo (Ed.)

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  • ISBN 978-3-540-47909-3
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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.

Table of contents (4 chapters)

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

    Colliot-Thélène, Jean-Louis

    Pages 1-49

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

    Kato, Kazuya

    Pages 50-163

  • Applications of arithmetic algebraic geometry to diophantine approximations

    Vojta, Paul

    Pages 164-208

  • Arithmetic algebraic geometry, Trento, Italy 1991

    Colliot-Thélène, Jean-Louis (et al.)

    Pages e1-e2

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-3-540-47909-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.99
price for USA
  • ISBN 978-3-540-57110-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

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
Editors
  • Edoardo Ballico
Series Title
C.I.M.E. Foundation Subseries
Series Volume
1553
Copyright
1993
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-47909-3
DOI
10.1007/BFb0084727
Softcover ISBN
978-3-540-57110-0
Edition Number
1
Number of Pages
X, 226
Topics