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arXiv:0903.0132 [math.AG]AbstractReferencesReviewsResources

A generalization of the Picard-Brauer exact sequence

Cristian D. Gonzalez-Aviles

Published 2009-03-01Version 1

We extend an argument of S.Lichtenbaum involving codimension one cycles to higher codimensions and obtain a generalization of the well-known Picard-Brauer exact sequence for a smooth variety X. The resulting exact sequence connects the codimension n Chow group of X with a certain "Brauer-like" group.

Comments: 9 pages
Categories: math.AG, math.NT
Subjects: 14C15, 14C25
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