Diophantine Approximation and Abelian Varieties
Introductory Lectures
Published on 20. December 1993
Book
Paperback/Softback
XIV, 130 pages
978-3-540-57528-3 (ISBN)
Description
The 13 chapters of this book centre around the proof of
Theorem 1 of Faltings' paper "Diophantine approximation on
abelian varieties", Ann. Math.133 (1991) and together give
an approach to the proof that is accessible to Ph.D-level
students in number theory and algebraic geometry. Each
chapter is based on an instructional lecture given by its
author ata special conference for graduate students, on the
topic of Faltings' paper.
More details
Series
Edition
1st ed. 1993. 3nd printing 2003
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
XIV, 130 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 9 mm
Weight
230 gr
ISBN-13
978-3-540-57528-3 (9783540575283)
DOI
10.1007/978-3-540-48208-6
Schweitzer Classification
Content
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).