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

• Autorzy: Amit Hogadi , Supriya Pisolkar
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 11S25: Galois cohomology

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2013
• Tom: 158
• Numer: 2
• Strony: 165-171

Daty

wydano

2013

Twórcy

autor

Amit Hogadi

• School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Colaba, Mumbai 400005, India

autor

Supriya Pisolkar

• School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Colaba, Mumbai 400005, India

Identyfikatory

DOI

10.4064/aa158-2-4