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Arithmetic algebraic geometry /

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 appl...

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Bibliographic Details
Main Author: Colliot-Thélène, J.-L. (Jean-Louis)
Corporate Authors: SpringerLink (Online service), Centro internazionale matematico estivo
Other Authors: Kato, K. (Kazuya), Vojta, Paul, 1957-, Ballico, E. (Edoardo), 1955-
Format: eBook
Language:English
Published: Berlin ; New York : Springer-Verlag, [1993]
Series:Lecture notes in mathematics (Springer-Verlag) ; 1553.
Subjects:
Arithmetical algebraic geometry.
Géométrie algébrique arithmétique.
Algebraïsche meetkunde.
Geometria algebrica.
Mathematics
Electronic books.
Online Access:Connect to the full text of this electronic book
Description
Summary: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.
Item Description:"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."
Electronic resource.
Physical Description:1 online resource (223 pages)
Format:Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Bibliography:Includes bibliographical references.
ISBN:9783540479093 (electronic bk.)
3540479090 (electronic bk.)
ISSN:0075-8434 ;