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Arithmetic algebraic geometry / J.-L. Colliot-Thélène, K. Kato, P. Vojta ; editor, E. Ballico.

By: Contributor(s): Material type: TextTextSeries: Lecture notes in mathematics (Springer-Verlag) ; 1553.Publication details: Berlin ; New York : Springer-Verlag, ©1993.Description: 1 online resource (223 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540479093
  • 3540479090
Subject(s): Additional physical formats: Print version:: Arithmetic algebraic geometry.DDC classification:
  • 510 s 512/.7 20
LOC classification:
  • QA3 .L28 no. 1553 QA242.5
Other classification:
  • 31.51
  • *00B25
  • 11-06
  • 14-06
  • 31.14
  • 31.61
Online resources:
Contents:
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.
Action note:
  • digitized 2010 HathiTrust Digital Library committed to preserve
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.
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"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.

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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