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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

Jean-Louis Colliot-Thelene, Kazuya Kato, Paul Vojta (Autoren)

Edoardo Ballico (Herausgeber)

Buch | Softcover

X, 226 Seiten

1993
Springer Berlin (Verlag)
978-3-540-57110-0 (ISBN)

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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
Reihe/Serie	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
Themenwelt	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