Arithmetic Algebraic Geometry: Lectures Given at the 2nd Session of the Centro Internazionale Matematico Estivo Held in Trento, Italy, June 24-July 2, 1991

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.Colliot-Thelene, J. L. is the author of 'Arithmetic Algebraic Geometry: Lectures Given at the 2nd Session of the Centro Internazionale Matematico Estivo Held in Trento, Italy, June 24-July 2, 1991', published 1994 under ISBN 9783540571100 and ISBN 3540571108.