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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 by Jean-Louis Colliot-Thelene, Kazuya Kato, Paul Vojta, J.-L Colliot-Thélène, Jean-Louis Colliot-Thélène, Kazuya Kato, Paul Vojta, Edoardo Ballico, J.-L. Colliot-Thélène, K. Kato, P. Vojta, editor, E. Ballico, Colliot-Thelene, Jean-Louis, Kato, Kazuya is a book available to read on EtoBox.

What is 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 about?

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. 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. Vojta: Applications of arithmetic algebraic geometry to diophantin

Author
Jean-Louis Colliot-Thelene, Kazuya Kato, Paul Vojta, J.-L Colliot-Thélène, Jean-Louis Colliot-Thélène, Kazuya Kato, Paul Vojta, Edoardo Ballico, J.-L. Colliot-Thélène, K. Kato, P. Vojta, editor, E. Ballico, Colliot-Thelene, Jean-Louis, Kato, Kazuya
Publisher
Springer Spektrum. in Springer-Verlag GmbH
Published
1993
Language
EN
ISBN
9783540571100
Subjects
Mathematics, Stem

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