Arithmetic Algebraic Geometry: Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Trento, Italy, June . 2, 1991 (Lecture Notes in Mathematics, 1553)

Colliot-Thélène, Jean-Louis

ISBN 10: 3540571108 / ISBN 13: 9783540571100

Published by Springer, 1993

About this Item

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Bibliographic Details

• Title: Arithmetic Algebraic Geometry: Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Trento, Italy, June . 2, 1991 (Lecture Notes in Mathematics, 1553)
• Publisher: Springer
• Publication Date: 1993
• Language: English
• ISBN 10: 3540571108
• ISBN 13: 9783540571100
• Binding: Soft cover
• Condition: good

About this title

Synopsis

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.