An equicharacteristic analogue of Hesselholt's conjecture on cohomology of Witt vectors

Amit Hogadi, and Supriya Pisolkar. "An equicharacteristic analogue of Hesselholt's conjecture on cohomology of Witt vectors." Acta Arithmetica 158.2 (2013): 165-171. <http://eudml.org/doc/278878>.

@article{AmitHogadi2013,
abstract = {Let L/K be a finite Galois extension of complete discrete valued fields of characteristic p. Assume that the induced residue field extension $k_L/k_K$ is separable. For an integer n ≥ 0, let $W_n(_L)$ denote the ring of Witt vectors of length n with coefficients in $_L$. We show that the proabelian group $\{H^1(G,W_n(_L))\}_\{n∈ ℕ\}$ is zero. This is an equicharacteristic analogue of Hesselholt’s conjecture, which was proved before when the discrete valued fields are of mixed characteristic.},
author = {Amit Hogadi, Supriya Pisolkar},
journal = {Acta Arithmetica},
keywords = {Galois cohomology; Witt vectors},
language = {eng},
number = {2},
pages = {165-171},
title = {An equicharacteristic analogue of Hesselholt's conjecture on cohomology of Witt vectors},
url = {http://eudml.org/doc/278878},
volume = {158},
year = {2013},
}

TY - JOUR
AU - Amit Hogadi
AU - Supriya Pisolkar
TI - An equicharacteristic analogue of Hesselholt's conjecture on cohomology of Witt vectors
JO - Acta Arithmetica
PY - 2013
VL - 158
IS - 2
SP - 165
EP - 171
AB - Let L/K be a finite Galois extension of complete discrete valued fields of characteristic p. Assume that the induced residue field extension $k_L/k_K$ is separable. For an integer n ≥ 0, let $W_n(_L)$ denote the ring of Witt vectors of length n with coefficients in $_L$. We show that the proabelian group ${H^1(G,W_n(_L))}_{n∈ ℕ}$ is zero. This is an equicharacteristic analogue of Hesselholt’s conjecture, which was proved before when the discrete valued fields are of mixed characteristic.
LA - eng
KW - Galois cohomology; Witt vectors
UR - http://eudml.org/doc/278878
ER -