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

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Hogadi A., Pisolkar S.

Acta Arithmetica

2013

tom 158

nr 2

165-171

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 $W_n(𝓞_L)$ denote the ring of Witt vectors of length n with coefficients in $𝓞_L$. We show that the proabelian group ${H^1(G,W_n(𝓞_L))}_{n∈ ℕ}$ is zero. This is an equicharacteristic analogue of Hesselholt's conjecture, which was proved before when the discrete valued fields are of mixed characteristic.

Ograniczanie wyników

1 Acta Arithmetica

1 Hogadi A.

1 Pisolkar S.

1 2013

Wyniki wyszukiwania

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