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Ramification of local fields with imperfect residue fields

Ahmed Abbes·Takeshi Saito
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Abstract

Classically the ramification filtration of the Galois group of a complete discrete valuation field is defined in the case where the residue field is perfect. In this paper, we define without any assumption on the residue field, two ramification filtrations and study some of their properties.

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Ahmed Abbes, Takeshi Saito. 2001-12-17. Ramification of local fields with imperfect residue fields. https://arxiv.org/abs/math/0010103

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