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. 1st ed. 1993

種類:

電子ブック

責任表示:

by Jean-Louis Colliot-Thelene, Kazuya Kato, Paul Vojta ; edited by Edoardo Ballico

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1993

著者名:

• Colliot-Thelene, Jean-Louis.
• Kato, Kazuya.
• Vojta, Paul.
• Ballico, Edoardo.
• SpringerLink (Online service)

シリーズ名:

C.I.M.E. Foundation Subseries ; 1553

ISBN:

9783540479093 [3540479090]    

注記:

Cycles algébriques de torsion et K-théorie algébrique Cours au C.I.M.E., juin 1991 -- Lectures on the approach to Iwasawa theory for Hasse-Weil L-functions via BdR. Part I -- Applications of arithmetic algebraic geometry to diophantine approximations -- Arithmetic algebraic geometry, Trento, Italy 1991.
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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