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Diophantine Approximation and Abelian Varieties
Introductory Lectures
Paperback
Print on Demand | Lieferzeit: Print on Demand - Lieferbar innerhalb von 3-5 Werktagen I
Artikel-Nr:
9783540575283
Veröffentl:
1993
Einband:
Paperback
Erscheinungsdatum:
20.12.1993
Seiten:
144
Autor:
Jan-Hendrik Evertse
Gewicht:
230 g
Format:
235x155x9 mm
Serie:
1566, Lecture Notes in Mathematics
Sprache:
Englisch
Beschreibung:
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.
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).