Maximal monodromy in unequal characteristic

2011/10/10 by Pierre Chrétien, Chrétien, Pierre, Michel Matignon +1
Mathematics · #Advanced Algebra and Geometry #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1110.1960

openalex publication_date 2011/10/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let R be a complete discrete valuation ring of mixed characteristic (0,p) with fraction field K. We study stable models of p-cyclic covers of \Proj_K. First, we determine the monodromy extension, the monodromy group, its filtration and the Swan conductor for special covers of arbitrarily high genus with potential good reduction. In the case p=2 we consider hyperelliptic curves of genus 2.

Citations

• Good Reduction of Abelian Varieties

Related

• Wild monodromy and automorphisms of curves
• Lifting Artin-Schreier covers with maximal wild monodromy
• Monodromy groups of indecomposable coverings of bounded genus
• Galois covers of degree p: semi-stable reduction and Galois action
• Reduction of Hyperelliptic Curves in Characteristic \not=2