Diophantine Approximation and Abelian Varieties: Introductory Lectures: 1566 - Brossura

Brossura

ISBN 10: 3540575286 ISBN 13: 9783540575283

Casa editrice: Springer, 2009

Riassunto

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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Contenuti

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).

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Dettagli dell'edizione

• Editore: Springer
• Data di pubblicazione: 2009
• Lingua: Inglese
• ISBN 10: 3540575286
• ISBN 13: 9783540575283
• Rilegatura: Copertina flessibile
• Numero di pagine: 144
• Redattore: Edixhoven Bas
• Contatto del produttore: non disponibile
• Persona responsabile: CMN Printpool Inh. Mathis Neumann; https://www.also.com/ec/cms5/en_6000/6000/index.jsp; ; Friedrich-Karl-Str. 9; Hamburg; Germania