Compactifying Moduli Spaces for Abelian Varieties / by Martin C. Olsson
(Lecture Notes in Mathematics ; 1958)
| データ種別 | 電子ブック |
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| 出版者 | Berlin, Heidelberg : Springer Berlin Heidelberg |
| 出版年 | 2008 |
| 本文言語 | 英語 |
| 大きさ | VIII, 286 p. 1 illus : online resource |
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| 内容注記 | 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 |
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| 一般注記 | 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 |
| 著者標目 | *Olsson, Martin C. author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Algebraic geometry FREE:Mathematics FREE:Algebraic Geometry |
| 分 類 | DC23:516.35 |
| 巻冊次 | ISBN:9783540705192 
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| ISBN | 9783540705192 |
| URL | http://dx.doi.org/10.1007/978-3-540-70519-2 |
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