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Diophantine Approximation and Abelian Varieties: Introductory Lectures de Bas Edixhoven

Diophantine Approximation and Abelian Varieties: Introductory Lectures: Lecture Notes in Mathematics, cartea 1566

Editat de Bas Edixhoven, Jan-Hendrik Evertse
en Limba Engleză Paperback – 20 dec 1993
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.
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Specificații

ISBN-13: 9783540575283
ISBN-10: 3540575286
Pagini: 144
Ilustrații: XIV, 130 p.
Dimensiuni: 155 x 235 x 8 mm
Greutate: 0.22 kg
Ediția:1993
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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).