Compactifying Moduli Spaces for Abelian Varieties Paperback - 2008 - 2008th Edition
by Martin C. Olsson
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From the publisher
From the rear cover
This volume presents the construction of canonical modular compactifications of moduli spaces for polarized Abelian varieties (possibly with level structure), building on the earlier work of Alexeev, Nakamura, and Namikawa. This provides a different approach to compactifying these spaces than the more classical approach using toroical embeddings, which are not canonical. There are two main new contributions in this monograph: (1) The introduction of logarithmic geometry as understood by Fontaine, Illusie, and Kato to the study of degenerating Abelian varieties; and (2) the construction of canonical compactifications for moduli spaces with higher degree polarizations based on stack-theoretic techniques and a study of the theta group.
Details
- Title Compactifying Moduli Spaces for Abelian Varieties
- Author Martin C. Olsson
- Binding Paperback
- Edition number 2008th
- Edition 2008
- Pages 286
- Volumes 1
- Language ENG
- Publisher Springer
- Publication date 2008-08-25
- Features Bibliography, Index, Table of Contents
- ISBN 9783540705185 / 354070518X
- Weight 1 lbs (0.45 kg)
- Dimensions 9.2 x 6.1 x 0.7 in (23.37 x 15.49 x 1.78 cm)
- Category Mathematics
- Library of Congress Catalogue Number 2008931163
- Dewey Decimal Code 516.353
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Compactifying Moduli Spaces for Abelian Varieties
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Compactifying Moduli Spaces for Abelian Varieties (Lecture Notes in Mathematics)
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Compactifying Moduli Spaces for Abelian Varieties (Lecture Notes in Mathematics, 1958)
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