Moduli of Supersingular Abelian Varieties
Abelian 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...
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| التنسيق: | Livre numérique |
| اللغة: | Anglais |
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[20..].
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| سلاسل: | Lecture notes in mathematics
1680 |
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| Edition sous un autre format: | • Moduli of supersingular Abelian varieties, Ke-Zheng Li, Frans Oort, 1998, Berlin, Springer, 1 vol. (116 p.), Lecture notes in mathematics, 3-540-63923-3 • Moduli of Supersingular Abelian Varieties, Texte imprimé, 9783662211793 |
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| 100 | 1 | |a Li, Kezheng. | |
| 245 | 1 | 0 | |a Moduli of Supersingular Abelian Varieties |c Ke-Zheng Li, Frans Oort. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1680 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Supersingular 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a Abelian 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 Ag.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 | |a Théorie des modules | ||
| 650 | |a Mathématiques | ||
| 650 | |a Géométrie algébrique | ||
| 650 | |a Variétés abéliennes | ||
| 650 | |a Variétés algébriques | ||
| 700 | 1 | |a Oort, Frans, |d 1935-...., |c mathématicien. |4 aut | |
| 776 | 0 | |0 045567360 |t Moduli of supersingular Abelian varieties |f Ke-Zheng Li, Frans Oort |d 1998 |c Berlin |n Springer |p 1 vol. (116 p.) |s Lecture notes in mathematics |z 3-540-63923-3 | |
| 776 | 0 | |t Moduli of Supersingular Abelian Varieties |b Texte imprimé |z 9783662211793 | |
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| 856 | 4 | |5 452349901:750653523 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0095931 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754003698 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0095931 |z Accès INSA CVL | |
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