Compactifying Moduli Spaces for Abelian Varieties (Lecture Notes in Mathematics) - Couverture souple

Livre 7 sur 20: Lecture Notes in Mathematics

Olsson, Martin C.

 
9783540705185: Compactifying Moduli Spaces for Abelian Varieties (Lecture Notes in Mathematics)
Couverture souple
ISBN 10 : 354070518X ISBN 13 : 9783540705185
Editeur : Springer, 2004

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2004
Langue
anglais
ISBN 10 
354070518X
ISBN 13 
9783540705185
Reliure
Broché
Nombre de pages
296
Coordonnées du fabricant
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Poststr. 9
Darmstadt
64293
Allemagne

Autres éditions populaires du même titre

9783540866398: Compactifying Moduli Spaces for Abelian Varieties

Edition présentée

ISBN 10 :  3540866396 ISBN 13 :  9783540866398
Couverture souple