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Galois covers of degree p: semi-stable reduction and Galois action

Mohamed Saidi
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Abstract

In this paper we study the semi-stable reduction of Galois covers of degree p above semi-stable curves over a complete discrete valuation ring of inequal characteristics (0,p). We are also able to describe the Galois action on these covers in terms of some geometric and combinatorial datas in characteristic p endowed with the action of the Galois group of the residue field.

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Mohamed Saidi. 2001-06-28. Galois covers of degree p: semi-stable reduction and Galois action. https://arxiv.org/abs/math/0106249

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