E-Book, Englisch, Band 1553, 226 Seiten, eBook
Reihe: Lecture Notes in Mathematics
Colliot-Thelene / Ballico / Kato Arithmetic Algebraic Geometry
1993
ISBN: 978-3-540-47909-3
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
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
E-Book, Englisch, Band 1553, 226 Seiten, eBook
Reihe: Lecture Notes in Mathematics
ISBN: 978-3-540-47909-3
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
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Research
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Weitere Infos & Material
Cycles algébriques de torsion et K-théorie algébrique Cours au C.I.M.E., juin 1991.- Lectures on the approach to Iwasawa theory for Hasse-Weil L-functions via BdR. Part I.- Applications of arithmetic algebraic geometry to diophantine approximations.- Arithmetic algebraic geometry, Trento, Italy 1991.