Moduli of Supersingular Abelian Varieties

Li, Ke-Zheng; Oort, Frans

doi:10.1007/bfb0095931

Cited by 106 publications

(125 citation statements)

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“…of M n «g) F p = : ^K np in the restricted case that all residue degrees f p are one. The method of computing the number of irreducible components and describing each component has been documented in [6]. Based on loc.…”

Section: 3mentioning

confidence: 99%

On the mass formula of supersingular abelian varieties with real multiplications

2005

J. Aust. Math. Soc.

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A geometric mass concerning supersingular abelian varieties with real multiplications is formulated and related to an arithmetic mass. We determine the exact geometric mass formula for superspecial abelian varieties of Hilbert-Blumenthal type. As an application, we compute the number of the irreducible components of the supersingular locus of some Hilbert-Blumenthal varieties in terms of special values of the zeta function.2000 Mathematics subject classification: primary 11F41; secondary: 11E41.

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Section: 3mentioning

confidence: 99%

On the mass formula of supersingular abelian varieties with real multiplications

2005

J. Aust. Math. Soc.

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“…Notation. Over F p 2 we consider two series of quasi-polarized superspecial p-divisible groups (see [11,6.1]:…”

Section: Central Leaves For Any Point [(A λ)]mentioning

confidence: 99%

“…In [11,6.1] it is proved that over an algebraically closed field a superspecial quasipolarized p-divisible group is isomorphic to a direct sum of summands each of type I or II.…”

Section: Central Leaves For Any Point [(A λ)]mentioning

confidence: 99%

Foliations in moduli spaces of abelian varieties

Oort¹

2004

J. Amer. Math. Soc.

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“…However, up to now there seems to be no really easy proof that these are indeed the correct formulas. In [14] the dimension of the supersingular locus…”

Section: Examplementioning

confidence: 99%