Arithmetic algebraic geometry
By: J.-L. Colliot-Thélène, K. Kato, P. Vojta ; editor, E. Ballico.
Contributors: Kato, K.; Vojta, Paul, 1957-; Ballico, E. 1955-; Centro internazionale matematico estivo.
Series: Lecture notes in mathematics ;; 1553; Lecture notes in mathematics (Springer-Verlag) ;; 1553.
Publisher: Springer-Verlag
Published: 1993
Place of publication: Berlin; New York
Language: eng
Number of pages: 223
Subjects: Arithmetical algebraic geometry.
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.
Notes: Includes bibliographical references.
"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."