Arithmetic Algebraic Geometry: Lectures Given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) Held in Trento, Italy, Jun 1993 Edition Contributor(s): Colliot-Thelene, Jean-Louis (Author), Ballico, Edoardo (Editor), Kato, Kazuya (Author) |
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ISBN: 3540571108 ISBN-13: 9783540571100 Publisher: Springer OUR PRICE: $56.99 Product Type: Paperback Published: September 1993 |
Additional Information |
BISAC Categories: - Mathematics | Number Theory - Mathematics | Geometry - Algebraic |
Dewey: 512.7 |
LCCN: 93028781 |
Physical Information: 0.51" H x 6.14" W x 9.21" (0.75 lbs) 226 pages |
Descriptions, Reviews, Etc. |
Publisher 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. |