Compactifying moduli spaces for Abelian varieties
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 mo...
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| Main Author: | |
|---|---|
| Format: | Livre numérique |
| Language: | Anglais |
| Published: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edition: | 1st ed. 2008. |
| Series: | Lecture notes in mathematics (Internet)
1958 |
| Subjects: | |
| Online Access: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
L'impression du document génère 285 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Compactifying moduli spaces for Abelian varieties, Martin C. Olsson, Berlin, Springer, 2008, 1 vol. (VI-278 p.), Lecture notes in mathematics, 978-3-540-70518-5 • Compactifying Moduli Spaces for Abelian Varieties, Texte imprimé, 9783540866398 • Compactifying moduli spaces for Abelian varieties, Martin C. Olsson, Berlin, Springer, 2008, 1 vol. (VI-278 p.), Lecture notes in mathematics, 978-3-540-70518-5 |
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| 100 | 1 | |a Olsson, Martin C., |d 19..- | |
| 245 | 1 | 0 | |a Compactifying moduli spaces for Abelian varieties |c Martin C. Olsson. |
| 250 | |a 1st ed. 2008. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 1 | |a Lecture notes in mathematics (Internet) |v 1958 |x 1617-9692 | |
| 500 | |a L'impression du document génère 285 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a A Brief Primer on Algebraic Stacks Preliminaries Moduli of Broken Toric Varieties Moduli of Principally Polarized Abelian Varieties Moduli of Abelian Varieties with Higher Degree Polarizations Level Structure | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 | ||
| 650 | |a Variétés abéliennes | ||
| 650 | |a Théorie des modules | ||
| 650 | |a Géométrie | ||
| 650 | |a Géométrie algébrique | ||
| 650 | |a Mathématiques | ||
| 776 | 0 | |0 12758675X |t Compactifying moduli spaces for Abelian varieties |f Martin C. Olsson |c Berlin |n Springer |d 2008 |p 1 vol. (VI-278 p.) |s Lecture notes in mathematics |z 978-3-540-70518-5 | |
| 776 | 0 | |t Compactifying Moduli Spaces for Abelian Varieties |b Texte imprimé |z 9783540866398 | |
| 776 | 0 | |0 12758675X |t Compactifying moduli spaces for Abelian varieties |f Martin C. Olsson |c Berlin |n Springer |d 2008 |p 1 vol. (VI-278 p.) |s Lecture notes in mathematics |z 978-3-540-70518-5 | |
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