Compactifying Moduli Spaces for Abelian Varieties (Lecture Notes in Mathematics) (Lecture Notes in Mathematics, 1958, Band 1958) - Softcover

Buch 7 von 20: Lecture Notes in Mathematics

Olsson, Martin C.

 
9783540705185: Compactifying Moduli Spaces for Abelian Varieties (Lecture Notes in Mathematics) (Lecture Notes in Mathematics, 1958, Band 1958)
Softcover
ISBN 10: 354070518X ISBN 13: 9783540705185
Verlag: Springer, 2004

Inhaltsangabe

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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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.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2004
Sprache
Englisch
ISBN 10 
354070518X
ISBN 13 
9783540705185
Einband
Taschenbuch
Anzahl der Seiten
296
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Weitere beliebte Ausgaben desselben Titels

9783540866398: Compactifying Moduli Spaces for Abelian Varieties

Vorgestellte Ausgabe

ISBN 10:  3540866396 ISBN 13:  9783540866398
Verlag: Springer, 2008
Softcover