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

2001/06/28 by Mohamed Saı̈di, Mohamed Saidi, Saidi, Mohamed · 3 citations
Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Polynomial and algebraic computation #math.AG

paper · pdf · doi:10.48550/arxiv.math/0106249

25 pages amstex, 5 pictures

arxiv created 2001/06/28 · openalex publication_date 2001/06/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• Wild ramification and a vanishing cycles formula
• Torsors under finite and flat group schemes of rank p with Galois action
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• Wild ramification and a vanishing cycles formula
• Semistable reduction of covers of degree p
• Moduli of Galois p-covers in mixed characteristics
• Relèvement galoisien des revêtements de courbes nodales
• Torsors under finite and flat group schemes of rank p with Galois action