Items related to Compactifying Moduli Spaces for Abelian Varieties

Compactifying Moduli Spaces for Abelian Varieties - Softcover

 
9783540866398: Compactifying Moduli Spaces for Abelian Varieties

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Synopsis

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.

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Other Popular Editions of the Same Title

9783540705185: Compactifying Moduli Spaces for Abelian Varieties (Lecture Notes in Mathematics, 1958)

Featured Edition

ISBN 10:  354070518X ISBN 13:  9783540705185
Publisher: Springer, 2008
Softcover