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Compactifying Moduli Spaces for Abelian Varieties (Lecture Notes in Mathematics): 1958 - Tapa blanda

Libro 7 de 20: Lecture Notes in Mathematics

Olsson, Martin C.

 
9783540705185: Compactifying Moduli Spaces for Abelian Varieties (Lecture Notes in Mathematics): 1958
Tapa blanda
ISBN 10: 354070518X ISBN 13: 9783540705185
Editorial: Springer, 2004

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

De la contraportada

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2004
Idioma
Inglés
ISBN 10 
354070518X
ISBN 13 
9783540705185
Encuadernación
Tapa blanda
Número de páginas
296
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