Arithmetic Algebraic Geometry

Released on by Jean-Louis Colliot-Thelene
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  • Arithmetic Algebraic Geometry Book Detail

  • Author : Jean-Louis Colliot-Thelene
  • Release Date : 2006-11-15
  • Publisher : Springer
  • Genre : Mathematics
  • Pages : 218
  • ISBN 13 : 3540479090
  • File Size : 97,97 MB
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Arithmetic Algebraic Geometry by Jean-Louis Colliot-Thelene PDF Summary

Book Description: 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.

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