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MARC 21

Diophantine Approximation and Abelian Varieties
Tag	Description
020	$a9783540482086$9978-3-540-48208-6
082	$a512.7$223
099	$aOnline resource: Springer
245	$aDiophantine Approximation and Abelian Varieties$h[EBook] /$cedited by Bas Edixhoven, Jan-Hendrik Evertse.
260	$aBerlin, Heidelberg :$bSpringer Berlin Heidelberg,$c1993.
300	$aXIV, 130 p.$bonline resource.
336	$atext$btxt$2rdacontent
337	$acomputer$bc$2rdamedia
338	$aonline resource$bcr$2rdacarrier
440	$aLecture Notes in Mathematics,$x0075-8434 ;$v1566
505	$aDiophantine 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).
520	$aThe 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.
538	$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
700	$aEdixhoven, Bas.$eeditor.
700	$aEvertse, Jan-Hendrik.$eeditor.
710	$aSpringerLink (Online service)
830	$aLecture Notes in Mathematics,$x0075-8434 ;$v1566
856	$uhttp://dx.doi.org/10.1007/978-3-540-48208-6