000 | 02939nam a22004695i 4500 | ||
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001 | 978-3-540-69666-7 | ||
003 | DE-He213 | ||
005 | 20190213151759.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1998 gw | s |||| 0|eng d | ||
020 |
_a9783540696667 _9978-3-540-69666-7 |
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024 | 7 |
_a10.1007/BFb0095931 _2doi |
|
050 | 4 | _aQA564-609 | |
072 | 7 |
_aPBMW _2bicssc |
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072 | 7 |
_aMAT012010 _2bisacsh |
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072 | 7 |
_aPBMW _2thema |
|
082 | 0 | 4 |
_a516.35 _223 |
100 | 1 |
_aLi, Ke-Zheng. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 0 |
_aModuli of Supersingular Abelian Varieties _h[electronic resource] / _cby Ke-Zheng Li, Frans Oort. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1998. |
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300 |
_aIX, 116 p. _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 ; _v1680 |
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505 | 0 | _aSupersingular abelian varieties -- Some prerequisites about group schemes -- Flag type quotients -- Main results on S g,1 -- Prerequisites about Dieudonné modules -- PFTQs of Dieudonné modules over W -- Moduli of rigid PFTQs of Dieudonné modules -- Some class numbers -- Examples on S g,1 -- Main results on S g,d -- Proofs of the propositions on FTQs -- Examples on S g,d (d>1) -- A scheme-theoretic definition of supersingularity. | |
520 | _aAbelian varieties can be classified via their moduli. In positive characteristic the structure of the p-torsion-structure is an additional, useful tool. For that structure supersingular abelian varieties can be considered the most special ones. They provide a starting point for the fine description of various structures. For low dimensions the moduli of supersingular abelian varieties is by now well understood. In this book we provide a description of the supersingular locus in all dimensions, in particular we compute the dimension of it: it turns out to be equal to Äg.g/4Ü, and we express the number of components as a class number, thus completing a long historical line where special cases were studied and general results were conjectured (Deuring, Hasse, Igusa, Oda-Oort, Katsura-Oort). | ||
650 | 0 | _aGeometry, algebraic. | |
650 | 1 | 4 |
_aAlgebraic Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M11019 |
700 | 1 |
_aOort, Frans. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662211793 |
776 | 0 | 8 |
_iPrinted edition: _z9783540639237 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1680 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0095931 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c11864 _d11864 |