Consider a wildly ramified G-Galois cover of curves phi : Y --> X branched at only one point over an algebraically closed field k of characteristic p. In this paper, given G such that the Sylow p-subgroups of G have order p, I show it is possible to deform phi to increase the conductor at a wild rami. cation point. As a result, I prove that all sufficiently large conductors occur for covers lambda : Y --> P-k(1) branched at only one point with inertia Z/p. For the proof, I show there exists such a cover with small conductor under an additional hypothesis on G and then use deformation and formal patching to transform this cover.
机构:
Univ Grenoble 1, Inst Fourier, UFR Math, UMR CNRS UJF 5582, F-38402 St Martin Dheres, FranceUniv Grenoble 1, Inst Fourier, UFR Math, UMR CNRS UJF 5582, F-38402 St Martin Dheres, France
Bertin, J
Mézard, A
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机构:
Univ Grenoble 1, Inst Fourier, UFR Math, UMR CNRS UJF 5582, F-38402 St Martin Dheres, FranceUniv Grenoble 1, Inst Fourier, UFR Math, UMR CNRS UJF 5582, F-38402 St Martin Dheres, France