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

by Jean-Louis Colliot-Thélène, Kazuya Kato, Edoardo Ballico (Editor)

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. J.L. Cycles algebriques de torsion et K-theorie algebrique.- K. Lectures on the approach to Iwasawa theory for Hasse-Weil L-functions.- P. Applications of arithmetic algebraic geometry to diophantine approximations.

236 pages, Paperback

First published September 29, 1993