Moduli of supersingular Abelian varieties / / Ke-Zheng Li, Frans Oort

• Autore: Li Ke-Zheng <1949->
• Pubblicazione: Berlin ; ; Heidelberg : , : Springer-Verlag, , [1998]; ©1998
• Edizione: 1st ed. 1998.
• Descrizione fisica: 1 online resource (IX, 116 p.)
• Disciplina: 516.35
• Soggetto topico: Geometry, Algebraic; Abelian varieties
• 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.: 996466865903316
• Lo trovi qui: Univ. di Salerno
• Serie: Lecture notes in mathematics (Springer-Verlag) ; ; Volume 1680.