Galois covers of type (p,...,p), vanishing cycles formula, and the existence of a torsor structure
Osaka Journal of Mathematics
Reason for embargo
This is the author accepted manuscript. It is currently under an indefinite embargo pending publication by the publisher
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 in [Sa¨ıdi1] 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.
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