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arXiv · 1411.0742

Dualité sur un corps local de caractéristique positive à corps résiduel algébriquement clos

Cédric Pépin
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Abstract

Let K be a complete discretely valued field with residue field k of characteristic p>0. There is a duality theory for cohomology with coefficients in commutative finite K-group schemes in the following cases : char(K)=0 and k finite (Tate), char(K)=p and k finite (Shatz), char(K)=0 and k algebraically closed (Bégueri). In this paper, we settle the case where char(K)=p and k is algebraically closed.

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Cédric Pépin. 2014-11-04. Dualité sur un corps local de caractéristique positive à corps résiduel algébriquement clos. https://arxiv.org/abs/1411.0742

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