On Galois equivariance of homomorphisms between torsion potentially crystalline representations

Yoshiyasu Ozeki

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arXiv · 1304.2095

On Galois equivariance of homomorphisms between torsion potentially crystalline representations

Yoshiyasu Ozeki

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Abstract

Let K be a complete discrete valuation field of mixed characteristic (0,p) with perfect residue field. Let (π_n)_{n\ge 0} be a system of p-power roots of a uniformizer π=π_0 of K with π^p_{n+1}=π_n, and define G_s (resp.\ G_{\infty}) the absolute Galois group of K(π_s) (resp.\ K_{\infty}:=\bigcup_{n\ge 0} K(π_n)). In this paper, we study G_s-equivatiantness properties of G_{\infty}-equivariant homomorphisms between torsion (potentially) crystalline representations

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Yoshiyasu Ozeki. 2014-03-25. On Galois equivariance of homomorphisms between torsion potentially crystalline representations. https://arxiv.org/abs/1304.2095

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