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

Mathematics – Algebraic Geometry

Scientific paper

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25 pages amstex, 5 pictures

Scientific paper

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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