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- catalog abstract "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).".
- catalog contributor b10709246.
- catalog contributor b10709247.
- catalog created "c1998.".
- catalog date "1998".
- catalog date "c1998.".
- catalog dateCopyrighted "c1998.".
- catalog description "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).".
- catalog description "Includes bibliographical references and index.".
- catalog description "Introduction -- Supersingular abelian varieties -- Some prerequisites about group schemes -- Flag type quotients -- Main results on Sg,1 (the principally polarized case) -- Prerequisites about Dieudonne modules -- PFTQs of Dieudonné modules over W -- Moduli of rigid PFTQs of Dieudonné modules -- Some class numbers -- Examples on Sg,1 -- Main results on Sg,d (the non-principally polarized case) -- Proofs of the propositions on FTQs -- Examples on Sg,d (d>1) -- A scheme-theoretic definition of supersingularity -- Appendix: Some historical remarks -- References -- Index.".
- catalog extent "116 p. ;".
- catalog identifier "3540639233 (softcover : alk. paper)".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1680.".
- catalog isPartOf "Lecture notes in mathematics ; 1680".
- catalog issued "1998".
- catalog issued "c1998.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer,".
- catalog subject "510 s 516.3/5 21".
- catalog subject "Abelian varieties.".
- catalog subject "Algebraic varieties Classification theory.".
- catalog subject "Geometry, algebraic.".
- catalog subject "Mathematics.".
- catalog subject "Moduli theory.".
- catalog subject "QA3 .L28 no. 1680 QA564".
- catalog tableOfContents "Introduction -- Supersingular abelian varieties -- Some prerequisites about group schemes -- Flag type quotients -- Main results on Sg,1 (the principally polarized case) -- Prerequisites about Dieudonne modules -- PFTQs of Dieudonné modules over W -- Moduli of rigid PFTQs of Dieudonné modules -- Some class numbers -- Examples on Sg,1 -- Main results on Sg,d (the non-principally polarized case) -- Proofs of the propositions on FTQs -- Examples on Sg,d (d>1) -- A scheme-theoretic definition of supersingularity -- Appendix: Some historical remarks -- References -- Index.".
- catalog title "Moduli of supersingular abelian varieties / Ke-Zheng Li, Frans Oort.".
- catalog type "text".