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-Thelene, Jean-Louis; Kato, Kazuya; Vojta, Paul; Ballico, Edoardo [Editor]

ISBN 10: 3540571108 / ISBN 13: 9783540571100

Editore: Springer, 1993

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Titolo: Arithmetic Algebraic Geometry: Lectures ...

Casa editrice: Springer

Data di pubblicazione: 1993

Legatura: paperback

Condizione: New

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Riassunto:

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.

Contenuti:

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.