Arithmetic Algebraic Geometry. Proc. conf. Trento, 1991

✍ Scribed by Jean-Louis Colliot-Thelene, Kazuya Kato, Paul Vojta, Edoardo Ballico

• Book ID: 127453629
• Publisher: Springer-Verlag
• Year: 1993
• Tongue: English
• Weight: 1 MB
• Series: Lecture notes in mathematics 1553
• Edition: 1
• Category: Library
• City: Berlin; New York
• ISBN-13: 9780387571102

✦ Synopsis

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.