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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 / by Jean-Louis Colliot-Thélène, Kazuya Kato, Paul Vojta ; edited by Edoardo Ballico.
- Format:
- Book
- Author/Creator:
- Colliot-Thélène, J.-L. (Jean-Louis), author.
- Kato, K. (Kazuya), author.
- Vojta, Paul, 1957- author.
- Series:
- Lecture notes in mathematics (Springer-Verlag). CIME Foundation subseries ; 1553.
- C.I.M.E. Foundation Subseries ; 1553
- Language:
- English
- Subjects (All):
- Geometry, Algebraic.
- Number theory.
- Algebraic Geometry.
- Number Theory.
- Local Subjects:
- Algebraic Geometry.
- Number Theory.
- Physical Description:
- 1 online resource (X, 226 pages).
- Contained In:
- Springer eBooks
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1993.
- System Details:
- text file PDF
- Summary:
- 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.
- Contents:
- 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.
- Other Format:
- Printed edition:
- ISBN:
- 9783540479093
- Access Restriction:
- Restricted for use by site license.
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