| 000 | 02551nam a22004455i 4500 | ||
|---|---|---|---|
| 001 | 978-3-540-70519-2 | ||
| 003 | DE-He213 | ||
| 005 | 20190213151838.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2008 gw | s |||| 0|eng d | ||
| 020 |
_a9783540705192 _9978-3-540-70519-2 |
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| 024 | 7 |
_a10.1007/978-3-540-70519-2 _2doi |
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| 050 | 4 | _aQA564-609 | |
| 072 | 7 |
_aPBMW _2bicssc |
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| 072 | 7 |
_aMAT012010 _2bisacsh |
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| 072 | 7 |
_aPBMW _2thema |
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| 082 | 0 | 4 |
_a516.35 _223 |
| 100 | 1 |
_aOlsson, Martin C. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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| 245 | 1 | 0 |
_aCompactifying Moduli Spaces for Abelian Varieties _h[electronic resource] / _cby Martin C. Olsson. |
| 264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2008. |
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| 300 |
_aVIII, 286 p. 1 illus. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 |
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| 505 | 0 | _aA 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. | |
| 520 | _aThis 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 | _aGeometry, algebraic. | |
| 650 | 1 | 4 |
_aAlgebraic Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M11019 |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783540866398 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783540705185 |
| 830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-540-70519-2 |
| 912 | _aZDB-2-SMA | ||
| 912 | _aZDB-2-LNM | ||
| 999 |
_c12080 _d12080 |
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