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Book 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.

Book details

Book category Books in English Mathematics & science Mathematics Geometry

• Full title: Arithmetic Algebraic Geometry
• 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
• Author: Jean-Louis Colliot-Thelene, Kazuya Kato, Paul Vojta, Edoardo Ballico
• Language: English
• Binding: Paperback
• Number of pages: 226
• EAN: 9783540571100
• ISBN: 3540571108
• ID: 01565695
• Publisher: Springer, Berlin
• Weight: 363 g
• Dimensions: 235 × 156 × 15 mm
• Published: 2008

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