Relevements des revetements de courbes faiblement ramifies (Lifts of weakly ramified coverings of curves)

Details Relevements des revetements de courbes faiblement ramifies (Lifts of weakly ramified coverings of curves) Relevements des revetements de courbes faiblement ramifies (Lifts of weakly ramified coverings of curves)

2004-12-09

arxiv.org/abs/math/0412189v2

Mathematics

Algebraic Geometry

in french. Second version: new, more complete proofs (not assuming a priori that lifts are fractional linear transformations),

Scientific paper

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 deformation ring R(X,G) of (X,G). When the ramification is
weak (i.e. all second ramification groups are trivial),we prove that n(X,G) is
0 or p and we compute R(X,G).

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