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Diophantine approximation and abelian varieties : introductory lectures

Author: B Edixhoven; J H Evertse
Publisher: Berlin ; New York : Springer-Verlag, ©1993.
Series: Lecture notes in mathematics (Springer-Verlag), 1566.
Edition/Format:   Print book : Conference publication : EnglishView all editions and formats
Summary:

The 13 chapters of this book centre around the proof ofTheorem 1 of Faltings' paper "Diophantine approximation onabelian varieties", Ann. Eachchapter is based on an  Read more...

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Genre/Form: Conference papers and proceedings
Congresses
Material Type: Conference publication, Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: B Edixhoven; J H Evertse
ISBN: 3540575286 9783540575283 9780387575285 0387575286
OCLC Number: 70412640
Notes: Papers presented at the instructional conference for Ph. D. students held April 12-16, 1992 in Soesterberg, the Netherlands.
Description: xii, 127 pages ; 24 cm.
Contents: I. Diophantine Equations and Approximation / F. Beukers --
II. Diophantine Approximation and its Applications / R. Tijdeman --
III. Roth's Theorem / R. Tijdeman --
IV. The Subspace Theorem of W.M. Schmidt / J.H. Evertse --
V. Heights on Abelian Varieties / J. Huisman --
VI. D. Mumford's "A Remark on Mordell's Conjecture" / J. Top --
VII. Ample Line Bundles and Intersection Theory / A.J. De Jong --
VIII. The Product Theorem / M. Van Der Put --
IX. Geometric Part of Faltings's Proof / C. Faber --
X. Faltings's Version of Siegel's Lemma / R.J. Kooman --
XI. Arithmetic Part of Falting's Proof / B. Edixhoven --
XII. Points of Degree d on Curves over Number Fields / G. Van Der Geer --
XIII. "The" General Case of S. Lang's Conjecture (after Faltings) / F. Oort.
Series Title: Lecture notes in mathematics (Springer-Verlag), 1566.
Responsibility: B. Edixhoven, J.-H. Evertse, eds.

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