ENGLISH

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 Paul Vojta (auth.) , Jean-Louis Colliot-Thélène , Kazuya Kato , Edoardo Ballico (eds.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1993
ISBN
978-3-540-57110-0, 978-3-540-47909-3
DOI
10.1007/BFb0084727
Language
english
Format
PDF
Filesize
3 MB (3637058 bytes)
Series
Lecture Notes in Mathematics 1553
Edition
1
Pages
226\217
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Algebraic Geometry; Number Theory

Description

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.

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