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Diophantine Approximation and Abelian Varieties : Introductory Lectures - Bas Edixhoven

Diophantine Approximation and Abelian Varieties

Introductory Lectures

By: Bas Edixhoven (Editor), Jan-Hendrik Evertse (Editor)

Paperback

Published: 22nd May 2003
Ships: 5 to 9 business days
5 to 9 business days
$69.10

The 13 chapters of this book centre around the proof ofTheorem 1 of Faltings' paper "Diophantine approximation onabelian varieties", Ann. Math.133 (1991) and together givean approach to the proof that is accessible to Ph.D-levelstudents in number theory and algebraic geometry. Eachchapter is based on an instructional lecture given by itsauthor ata special conference for graduate students, on thetopic of Faltings' paper.

Diophantine Equations and Approximation.- Diophantine Approximation and its Applications.- Roth's Theorem.- The Subspace Theorem of W.M. Schmidt.- Heights on Abelian Varieties.- D. Mumford's "A Remark on Mordell's Conjecture".- Ample Line Bundles and Intersection Theory.- The Product Theorem.- Geometric Part of Faltings's Proof.- Faltings's Version of Siegel's Lemma.- Arithmetic Part of Faltings's Proof.- Points of Degree d on Curves over Number Fields.- "The" General Case of S. Lang's Conjecture (after Faltings).

ISBN: 9783540575283
ISBN-10: 3540575286
Series: Lecture Notes in Physics
Audience: General
Format: Paperback
Language: English
Number Of Pages: 130
Published: 22nd May 2003
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6  x 0.81
Weight (kg): 0.22