This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,550grams, ISBN:9783540705185.

Codice articolo 2929090

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Dati bibliografici

Titolo

Compactifying Moduli Spaces for Abelian Varieties

Editore

Springer

Data di pubblicazione

2008

Lingua

Inglese

ISBN 10

354070518X

ISBN 13

9783540705185

Rilegatura

Brossura

Condizione

Good

Peso

550 grammi

Cataloghi dei venditori

Mathematics

Descrizione articolo

Riassunto

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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