Bas Edixhoven,
Jan-Hendrik Evertse
Diophantine Approximation and Abelian Varieties
Introductory Lectures
Paperback Engels 2003 1e druk 9783540575283Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
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.
Specificaties
ISBN13:9783540575283
Taal:Engels
Bindwijze:paperback
Aantal pagina's:130
Uitgever:Springer Berlin Heidelberg
Druk:1
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Inhoudsopgave
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).
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