E-Book, Englisch, Band 1566, 130 Seiten, eBook
Reihe: Lecture Notes in Mathematics
Edixhoven / Evertse Diophantine Approximation and Abelian Varieties
Erscheinungsjahr 2009
ISBN: 978-3-540-48208-6
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
Introductory Lectures
E-Book, Englisch, Band 1566, 130 Seiten, eBook
Reihe: Lecture Notes in Mathematics
ISBN: 978-3-540-48208-6
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
The 13 chapters of this book centre around the proof of
Theorem 1 of Faltings' paper "Diophantine approximation on
abelian varieties", Ann. Math.133 (1991) and together give
an approach to the proof that is accessible to Ph.D-level
students in number theory and algebraic geometry. Each
chapter is based on an instructional lecture given by its
author ata special conference for graduate students, on the
topic of Faltings' paper.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
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).
