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April 2018 Galois covers of type $(p,\cdots,p)$, vanishing cycles formula, and the existence of torsor structures
Mohamed Saïdi, Nicholas Williams
Osaka J. Math. 55(2): 259-296 (April 2018).

Abstract

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 $(p,p,\cdots,p)$ between formal germs of $p$-adic curves and which generalises the formula proven in [6] 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 $(p,p,\cdots,p)$ between $p$-adic schemes.

Citation

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Mohamed Saïdi. Nicholas Williams. "Galois covers of type $(p,\cdots,p)$, vanishing cycles formula, and the existence of torsor structures." Osaka J. Math. 55 (2) 259 - 296, April 2018.

Information

Published: April 2018
First available in Project Euclid: 18 April 2018

zbMATH: 06870389
MathSciNet: MR3787745

Subjects:
Primary: 11G20
Secondary: 14H30

Rights: Copyright © 2018 Osaka University and Osaka City University, Departments of Mathematics

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Vol.55 • No. 2 • April 2018
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