Cyclic p-groups and semi-stable reduction of curves in equal characteristic p>0

Details Cyclic p-groups and semi-stable reduction of curves in equal characteristic p>0 Cyclic p-groups and semi-stable reduction of curves in equal characteristic p>0

2004-05-27

arxiv.org/abs/math/0405529v1

Mathematics

Algebraic Geometry

54 pages

Scientific paper

In this paper we study the semi-stable reduction of $p$ and $p^2$-cyclic covers of curves in equal characteristic $p>0$. The main tool we use is the classical Artin-Schreier-Witt theory for $p^n$-cyclic covers in characteristic $p$. Although the results of this paper concern only the cases of degree $p$ and $p^2$-cyclic cover we develop the techniques and the framework in which the general cyclic case can be studied.

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