Grothendieck local duality and Cohomological Hasse principle
Algebraic Geometry
2007-05-23 v1
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.
Cite
@article{arxiv.math/0701053,
title = {Grothendieck local duality and Cohomological Hasse principle},
author = {Belgacem Draouil},
journal= {arXiv preprint arXiv:math/0701053},
year = {2007}
}