Maximal wild monodromy in unequal characteristic
Language
en
Document de travail - Pré-publication
English Abstract
Let $R$ be a complete discrete valuation ring of mixed characteristic $(0,p)$ with field of fractions $K$ containing the $p$-th roots of unity and $C \la \PK$ a $p$-cyclic cover of the projective line. In this paper we ...Read more >
Let $R$ be a complete discrete valuation ring of mixed characteristic $(0,p)$ with field of fractions $K$ containing the $p$-th roots of unity and $C \la \PK$ a $p$-cyclic cover of the projective line. In this paper we study the finite monodromy extension of the curve $C$, i.e.\ the minimal finite extension $K'/K$ over which $C$ has a stable model. In particular we are interested in the wild part of this extension. In various examples we have shown that the finite monodromy can be maximal, i.e.\ attain certain bounds that were given in previous work by the authors.Read less <
Origin
Hal imported