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

2004/05/27 by Mohamed Saı̈di, Mohamed Saidi, Saidi, Mohamed
Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT) #math.AG #math.NT

paper · pdf · doi:10.48550/arxiv.math/0405529

54 pages

arxiv created 2004/05/27 · openalex publication_date 2004/05/27 · arxiv updated 2009/12/01 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28

Abstract

In this paper we study the semi-stable reduction of p and p²-cyclic covers of curves in equal characteristic p>0. The main tool we use is the classical Artin-Schreier-Witt theory for pⁿ-cyclic covers in characteristic p. Although the results of this paper concern only the cases of degree p and p²-cyclic cover we develop the techniques and the framework in which the general cyclic case can be studied.

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