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Diophantine Approximation and Abelian Varieties : Introductory Lectures / edited by Bas Edixhoven, Jan-Hendrik Evertse
(Lecture Notes in Mathematics. ISSN:16179692 ; 1566)

1st ed. 1993.
出版者 Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
出版年 1993
本文言語 英語
大きさ XIV, 130 p : online resource
冊子体 Diophantine approximation and abelian varieties : introductory lectures / B. Edixhoven, J.-H. Evertse (eds.) ; : us,: gw
著者標目 Edixhoven, Bas editor
Evertse, Jan-Hendrik editor
SpringerLink (Online service)
件 名 LCSH:Number theory
LCSH:Algebraic geometry
FREE:Number Theory
FREE:Algebraic Geometry
一般注記 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)
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
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書誌ID 4000109519
ISBN 9783540482086

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