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.
Autorius: | Jean-Louis Colliot-Thelene, Paul Vojta, Kazuya Kato, |
Leidėjas: | Springer Berlin Heidelberg |
Išleidimo metai: | 1993 |
Knygos puslapių skaičius: | 236 |
ISBN-10: | 3540571108 |
ISBN-13: | 9783540571100 |
Formatas: | Knyga minkštu viršeliu |
Kalba: | Anglų |
Žanras: | Algebraic geometry |
Parašykite atsiliepimą apie „Arithmetic Algebraic Geometry: 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“