Displaying similar documents to “The small Schottky-Jung locus in positive characteristics different from two”

Finite subschemes of abelian varieties and the Schottky problem

Martin G. Gulbrandsen, Martí Lahoz (2011)

Annales de l’institut Fourier

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The Castelnuovo-Schottky theorem of Pareschi-Popa characterizes Jacobians, among indecomposable principally polarized abelian varieties ( A , Θ ) of dimension g , by the existence of g + 2 points Γ ⊂ A in special position with respect to 2 Θ , but general with respect to Θ , and furthermore states that such collections of points must be contained in an Abel-Jacobi curve. Building on the ideas in the original paper, we give here a self contained, scheme theoretic proof of the theorem, extending it to finite,...

On reduction of Hilbert-Blumenthal varieties

Chia-Fu Yu (2003)

Annales de l'Institut Fourier

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Let O 𝐅 be the ring of integers of a totally real field 𝐅 of degree g . We study the reduction of the moduli space of separably polarized abelian O 𝐅 -varieties of dimension g modulo p for a fixed prime p . The invariants and related conditions for the objects in the moduli space are discussed. We construct a scheme-theoretic stratification by a -types on the Rapoport locus and study the relation with the slope stratification. In particular, we recover the main results of Goren and Oort [J....