V. Abrashkin

activity

20042024

most citedGroup schemes of period 2

7 citations · 8 across the 13 of their papers we have counts for

collaborators

14 papers

math.NT2024

Ramification filtration via deformations, II

Victor Abrashkin

Let $K$ be a field of formal Laurent series with coefficients in a finite field of characteristic $p$ . For $M \geq 1$ , let $G_{< p, M}$ be the maximal quotient of the…

math.NT2021

Ramification filtration and differential forms

Victor Abrashkin

Let $L$ be a complete discrete valuation field of prime characteristic $p$ with finite residue field. Denote by $Γ_{L}^{(v)}$ the ramification subgroups of $Γ_{L}=\operatorname{Gal…

math.NT2020

Galois groups of p-extensions of higher local fields

Victor Abrashkin

Suppose $K$ is $N$ -dimensional local field of characteristic $p$ , $G = G a l (K_{se p} / K)$ , $G_{< p}$ is the maximal quotient of $\m…

math.NT2017

Ramification filtration via deformations

Victor Abrashkin

Let $K$ be a field of formal Laurent series with coefficients in a finite field of characteristic $p$ , $G_{< p}$ -- the maximal quotient of $\operatorname{Gal} (\m…

math.NT2015

Automorphisms of local fields of period $p^{M}$ and nilpotent class $< p$

Victor Abrashkin

Suppose $K$ is a finite extension of $Q_{p}$ containing a $p^{M}$ -th primitive root of unity. For $1 ⩽ s < p$ denote by $K [s, M]$ the maximal $p$ -extension of $K$ with the…

math.NT2014

Ramification estimate for Fontaine-Laffaille Galois modules

Victor Abrashkin

Suppose $K$ is unramified over $Q_{p}$ and $Γ_{K} = Gal (K ˉ / K)$ . Let $H$ be a torsion $Γ_{K}$ -equivariant subquotient of crystalline $Q_{p} [Γ_{K}]$ -module w…

Ramification filtration via deformations, II

Ramification filtration and differential forms

Galois groups of p-extensions of higher local fields

Ramification filtration via deformations

Automorphisms of local fields of period pM and nilpotent class <p

Ramification estimate for Fontaine-Laffaille Galois modules

Automorphisms of local fields of period $p^{M}$ and nilpotent class $< p$