59 citations · 80 across the 8 of their papers we have counts for
8 papers
The Torelli locus and special subvarieties
Ben Moonen, Frans Oort
We study the Torelli locus T_g in the moduli space A_g of abelian varieties. We consider special subvarieties (Shimura subvarieties) contained in the Torelli locus. We review the c…
Problems from the workshop on "Automorphisms of Curves" (Leiden, August, 2004)
I. Bouw, T. Chinburg, G. Cornelissen +7
Contents: Rational functions with given monodromy on generic curves (I. Bouw & S. Wewers); Can deformation rings of group representations not be local complete intersections? (T. C…
Minimal p-divisible groups
Frans oort
A criterion is given which assures that two p-divisible groups X and Y over an algebraically closed field of characteristic p are isomorphic when their p-kernels X[p] and Y[p] are…
Families of p-divisible groups with constant Newton polygon
Frans oort, Thomas Zink
A p-divisible group over a base scheme in characteristic p in general does not admit a slope filtration. Let X be a p-divisible group with constant Newton polygon over a normal noe…
Foliations in moduli spaces of abelian varieties
Frans Oort
Consider all moduli points corresponding with polarized abelian varieties in characteristic p such that the associated quasi-polarized p-divisible group is geometrically isomorphic…
Newton polygons and formal groups: Conjectures by Manin and Grothendieck
Frans Oort
We consider p-divisible groups (also called Barsotti-Tate groups) in characteristic p, their deformations, and we draw some conclusions. For such a group we can define its Newton p…