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
Seiten
1993
|
1993
Springer Berlin (Verlag)
978-3-540-57110-0 (ISBN)
Springer Berlin (Verlag)
978-3-540-57110-0 (ISBN)
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.
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.
| Erscheint lt. Verlag | 29.9.1993 |
|---|---|
| Reihe/Serie | C.I.M.E. Foundation Subseries | Lecture Notes in Mathematics |
| Zusatzinfo | X, 226 p. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Maße | 156 x 234 mm |
| Gewicht | 363 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| Schlagworte | Algebraic cycles • Algebraic Varieties • Arakelov Theory • Arithmetic Geometry • Diophantine approximation • L-functions |
| ISBN-10 | 3-540-57110-8 / 3540571108 |
| ISBN-13 | 978-3-540-57110-0 / 9783540571100 |
| Zustand | Neuware |
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