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Galois Covers of Type (P,...,p), Vanishing Cycles Formula, and the Existence of Torsor Structures by Saidi, Mohamed; Williams, Nicholas is a scholarly article available to read on EtoBox.

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In this article we prove a local Riemman-Hurwitz formula which compares the dimensions of the spaces of vanishing cycles in a finite Galois cover of type (p,p,...,p) between formal germs of p-adic curves and which generalises the formula proven by the first author in the case of Galois covers of degree p. We also investigate the problem of the existence of a torsor structure for a finite Galois cover of type (p,p,...,p) between p-adic schemes.

Author

Saidi, Mohamed; Williams, Nicholas

Published

2016

Language

EN