Edixhoven

Diophantine Approximation and Abelian Varieties

Introductory Lectures
Mitarbeit:Edixhoven, Bas; Evertse, Jan-Hendrik

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Lecture Notes in Mathematics 1566
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-57528-3
• 1993
• Seitenzahl: 144
• Erscheinungstermin: 20. Dezember 1993
• Englisch
• Abmessung: 235mm x 155mm x 9mm
• Gewicht: 252g
• ISBN-13: 9783540575283
• ISBN-10: 3540575286
• Artikelnr.: 09206134

Inhaltsangabe

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).