TY - BOOK AU - Colliot-Thélène,J.-L. AU - Colliot-Thélène,J.-L. AU - Kato,K. AU - Vojta,Paul AU - Ballico,E. ED - Centro internazionale matematico estivo. TI - Arithmetic algebraic geometry T2 - Lecture notes in mathematics, SN - 9783540479093 AV - QA3QA242.5 .L28 no. 1553 U1 - 510 s512/.7 20 PY - 1993/// CY - Berlin, New York PB - Springer-Verlag KW - Arithmetical algebraic geometry KW - Géométrie algébrique arithmétique KW - Geometría algebraica aritmética KW - embucm KW - fast KW - Algebraïsche meetkunde KW - gtt KW - Geometria Algebrica KW - larpcal KW - nli KW - Mathematics N1 - "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."; Includes bibliographical references; J.L. Colliot-Thlne: Cycles algbriques de torsion et K-thorie algbrique -- K. Kato: Lectures on the approach to Iwasawa theory for Hasse-Weil L-functions -- P. Vojta: Applications of arithmetic algebraic geometry to diophantine approximations; Electronic reproduction; [Place of publication not identified]; HathiTrust Digital Library; 2010 N2 - 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 UR - https://link-springer-com.libraryproxy.ist.ac.at/10.1007/BFb0084727 ER -