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arXiv · 1210.3997

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

Amit Hogadi·Supriya Pisolkar
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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 $n\geq 0$, let $W_n(\sO_L)$ denote the ring of Witt vectors of length $n$ with coefficients in $\sO_L$. We show that the proabelian group ${H^1(G,W_n(\sO_L))}_{n\in \N}$ is zero. This is an equicharacteristic analogue of Hesselholt's conjecture.

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Amit Hogadi, Supriya Pisolkar. 2012-10-15. Remark on equicharacteristic analogue of Hesselholt's conjecture on cohomology of Witt vectors. https://arxiv.org/abs/1210.3997

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