Compactifying moduli spaces for Abelian varieties /
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| Author / Creator: | Olsson, Martin C. |
|---|---|
| Imprint: | Berlin : Springer, ©2008. |
| Description: | 1 online resource (vi, 278 pages) : illustrations. |
| Language: | English |
| Series: | Lecture notes in mathematics, 0075-8434 ; 1958 Lecture notes in mathematics (Springer-Verlag) ; 1958. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11069732 |
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| 100 | 1 | |a Olsson, Martin C. |0 http://id.loc.gov/authorities/names/nb2008019511 |1 http://viaf.org/viaf/24133241 | |
| 245 | 1 | 0 | |a Compactifying moduli spaces for Abelian varieties / |c Martin C. Olsson. |
| 260 | |a Berlin : |b Springer, |c ©2008. | ||
| 300 | |a 1 online resource (vi, 278 pages) : |b illustrations. | ||
| 336 | |a text |b txt |2 rdacontent |0 http://id.loc.gov/vocabulary/contentTypes/txt | ||
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| 490 | 1 | |a Lecture notes in mathematics, |x 0075-8434 ; |v 1958 | |
| 505 | 0 | 0 | |g Introduction -- |t A brief primer on algebraic stacks -- |t Preliminaries -- |t Moduli of broken toric varieties -- |t Moduli of principally polarized Abelian varieties -- |t Moduli of Abelian varieties with higher degree polarizations -- |t Level structure. |
| 504 | |a Includes bibliographical references (pages 273-275) and index. | ||
| 588 | 0 | |a Print version record. | |
| 520 | 8 | |a 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. | |
| 650 | 0 | |a Abelian varieties. |0 http://id.loc.gov/authorities/subjects/sh85000130 | |
| 650 | 0 | |a Moduli theory. |0 http://id.loc.gov/authorities/subjects/sh85086471 | |
| 650 | 1 | 4 | |a Mathematics. |
| 650 | 2 | 4 | |a Algebraic Geometry. |
| 650 | 6 | |a Théorie des modules. | |
| 650 | 6 | |a Variétés abéliennes. | |
| 650 | 0 | 7 | |a Moduli theory. |2 cct |
| 650 | 0 | 7 | |a Abelian varieties. |2 cct |
| 650 | 7 | |a Abelian varieties. |2 fast |0 (OCoLC)fst00794347 | |
| 650 | 7 | |a Moduli theory. |2 fast |0 (OCoLC)fst01024524 | |
| 655 | 4 | |a Electronic books. | |
| 776 | 0 | 8 | |i Print version: |a Olsson, Martin C. |t Compactifying moduli spaces for Abelian varieties. |d Berlin : Springer, ©2008 |z 9783540705185 |w (DLC) 2008931163 |w (OCoLC)232976387 |
| 830 | 0 | |a Lecture notes in mathematics (Springer-Verlag) ; |v 1958. | |
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