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Relevements des revetements de courbes faiblement ramifies (Lifts of weakly ramified coverings of curves)
Gunther Cornelissen, Ariane Mezard
Let X be a smooth projective curve over a field of characteristic p>0 and G a finite group of automorphism of X. Let n(X,G) be the characteristic of the versal equivariant deformat…
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…
Mumford curves with maximal automorphism group II: Lame type groups in genus 5-8
Gunther Cornelissen, Fumiharu Kato
A Mumford curve of genus g=5,6,7 or 8 over a non-archimedean field of characteristic p (such that if p=0, the residue field characteristic exceeds 5) has at most 12(g-1) automorphi…
Mumford curves with maximal automorphism group
Gunther Cornelissen, Fumiharu Kato
The maximal number of automorphisms of a Mumford curve over a non-archimedean valued field of positive characteristic is known. In this note, the unique family of curves that attai…
Equivariant deformation of Mumford curves and of ordinary curves in positive characteristic
Gunther Cornelissen, Fumiharu Kato
We compute the dimension of the tangent space to, and the Krull dimension of the pro-representable hull of two deformation functors. The first one is the ``algebraic'' deformation…