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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…
Stable maps and Hurwitz schemes in mixed characteristic
Dan Abramovich, Frans Oort
In this short note, we propose a definition of complete Hurwitz schemes (and stacks) in mixed characteristic. We follow an idea of R. Pandharipande, and define the complete Hurwitz…
Alterations and resolution of singularities
Dan Abramovich, Frans Oort
On July 26, 1995, at the University of California, Santa Cruz, a young Dutch mathematician by the name Aise Johan de Jong made a revolution in the study of the arithmetic, geometry…