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Grothendieck local duality and Cohomological Hasse principle

Belgacem Draouil
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Abstract

We prove a local duality for some schemes associated to a 2-dimensional complete local ring whose residue field is an n-dimensional local field in the sense of Kato-Parshin. Our results generalize the Saito works in the case n=0 and are applied to study the Bloch-Ogus complex for such rings in various cases.

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Belgacem Draouil. 2007-01-02. Grothendieck local duality and Cohomological Hasse principle. https://arxiv.org/abs/math/0701053

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