Graded quotients of ramification groups of local fields with imperfect residue fields

Abstract

We prove that the graded quotients of the filtration by ramification groups of any henselian discrete valuation field of residue characteristic $p>0$ are $F_p$-vector spaces. We define an injection of the character group of each graded quotient to a twisted cotangent space defined using a cotangent complex.

57 pages

Cited by in corpus (2)

• Frobenius-Witt differentials and regularity
• Cotangent bundle and micro-supports in mixed characteristic case