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

Libro 7 di 20: Lecture Notes in Mathematics

Olsson, Martin C.

 
9783540705185: Compactifying Moduli Spaces for Abelian Varieties (Lecture Notes in Mathematics): 1958
Brossura
ISBN 10: 354070518X ISBN 13: 9783540705185
Casa editrice: Springer, 2004

Sinossi

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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Dalla quarta di copertina

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.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Springer
Data di pubblicazione
2004
Lingua
Inglese
ISBN 10 
354070518X
ISBN 13 
9783540705185
Rilegatura
Copertina flessibile
Numero di pagine
296
Contatto del produttore
ProductSafety@springernature.com
ProductSafety@springernature.com

Poststr. 9
Darmstadt
64293
Germania

Altre edizioni note dello stesso titolo

9783540866398: Compactifying Moduli Spaces for Abelian Varieties

Edizione in evidenza

ISBN 10:  3540866396 ISBN 13:  9783540866398
Brossura