Compactifying Moduli Spaces for Abelian Varieties
| Author/creator | Olsson, Martin C. Author |
| Format | Electronic |
| Publication Info | New York : Springer |
| Supplemental Content | Full text available from SpringerLINK Lecture Notes in Mathematics Contemporary (1997-present) |
| Series | Lecture Notes in Mathematics Ser. |
| Summary | Annotation 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. |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| ISBN | 9783540705185 |
| ISBN | 354070518X (Spiral) Active Record |
| Stock number | 354070518X 00024965 |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | Access Content Online | ✔ Available |