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Degeneration of Abelian varieties

Author: Gerd Faltings; Ching-Li Chai
Publisher: Berlin ; New York : Springer-Verlag, ©1990.
Series: Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge, Bd. 22.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

Presents a complete treatment of semi-abelian degenerations of abelian varieties, and their application to the construction of arithmetic compactifications of Siegel moduli space. Most results are  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Gerd Faltings; Ching-Li Chai
ISBN: 3540520155 9783540520153 0387520155 9780387520155
OCLC Number: 20995278
Description: xii, 316 pages : illustrations ; 25 cm.
Contents: I. Preliminaries.- II. Degeneration of Polarized Abelian Varieties.- III. Mumford's Construction.- IV. Toroidal Compactification of Ag.- V. Modular Forms and the Minimal Compactification.- VI. Eichler Integrals in Several Variables.- VII. Hecke Operators and Frobenii.- Glossary of Notations.- An Analytic Construction of Degenerating Abelian Varieties over Complete Rings.- David Mumford.
Series Title: Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge, Bd. 22.
Responsibility: Gerd Faltings, Ching-Li Chai.
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