| 书目名称 | Compactifying Moduli Spaces for Abelian Varieties |
| 编辑 | Martin C. Olsson |
| 视频video | |
| 概述 | Includes supplementary material: |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | .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.. |
| 出版日期 | Book 2008 |
| 关键词 | Abelian varieties; Abelian variety; Canon; Compactification; Moduli; Prime; Volume; algebra; compactificatio |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-540-70519-2 |
| isbn_softcover | 978-3-540-70518-5 |
| isbn_ebook | 978-3-540-70519-2Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 2008 |
发表于 2025-3-21 16:15:48
