Diophantine Approximation and Abelian Varieties

Introductory Lectures

AvBas Edixhoven,Jan-Hendrik Evertse

Häftad, Engelska, 1993

Del 1566 i serien Lecture Notes in Mathematics

406 kr

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Beskrivning

The 13 chapters of this book centre around the proof ofTheorem 1 of Faltings' paper "Diophantine approximation onabelian varieties", Ann. Math.133 (1991) and together givean approach to the proof that is accessible to Ph.D-levelstudents in number theory and algebraic geometry. Eachchapter is based on an instructional lecture given by itsauthor ata special conference for graduate students, on thetopic of Faltings' paper.

Produktinformation

Utgivningsdatum:1993-12-20
Mått:155 x 235 x 9 mm
Vikt:230 g
Format:Häftad
Språk:Engelska
Serie:Lecture Notes in Mathematics
Antal sidor:130
Upplaga:1993
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783540575283

Utforska kategorier

Talteori inom Naturvetenskap och teknik

Innehållsförteckning

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).