Grothendieck local duality and Cohomological Hasse principle

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

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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