Moduli of Supersingular Abelian Varieties / / by Ke-Zheng Li, Frans Oort
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| Autore: |
Li Ke-Zheng <1949->
|
| Titolo: |
Moduli of Supersingular Abelian Varieties / / by Ke-Zheng Li, Frans Oort
|
| Pubblicazione: | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1998 |
| Edizione: | 1st ed. 1998. |
| Descrizione fisica: | 1 online resource (IX, 116 p.) |
| Disciplina: | 516.35 |
| Soggetto topico: | Geometry, Algebraic |
| Algebraic Geometry | |
| Persona (resp. second.): | OortFrans <1935-> |
| Note generali: | Bibliographic Level Mode of Issuance: Monograph |
| Nota di contenuto: | 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. |
| Sommario/riassunto: | 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 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). |
| Titolo autorizzato: | Moduli of supersingular abelian varieties |
| ISBN: | 3-540-69666-0 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910146297703321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Lecture Notes in Mathematics, . 1617-9692 ; ; 1680