Del 1566 i serien Lecture Notes in Mathematics

Diophantine Approximation and Abelian Varieties

Introductory Lectures

Häftad, Engelska, 1993

539 kr

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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

Utgivningsdatum1993-12-20
Mått155 x 235 x 9 mm
Vikt230 g
FormatHäftad
SpråkEngelska
SerieLecture Notes in Mathematics
Antal sidor130
Upplaga1993
FörlagSpringer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN9783540575283

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Talteori inom Naturvetenskap och teknik

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).