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Catalogue Information
Field name	Details
Dewey Class	512.7
Title	Diophantine Approximation and Abelian Varieties ([EBook] /) / edited by Bas Edixhoven, Jan-Hendrik Evertse.
Added Personal Name	Edixhoven, Bas editor.
Added Personal Name	Evertse, Jan-Hendrik editor.
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : : Springer Berlin Heidelberg, , 1993.
Physical Details	XIV, 130 p. : online resource.
Series	Lecture Notes in Mathematics 0075-8434 ; ; 1566
ISBN	9783540482086
Summary Note	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.:
Contents note	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).
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-540-48208-6
Links to Related Works	Subject References: Algebraic Geometry . Mathematics . Number Theory . Authors: Edixhoven, Bas . Evertse, Jan-Hendrik . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 512.7 .

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Diophantine Approximation and Abelian Varieties

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