A generalization of the Picard-Brauer exact sequence
Algebraic Geometry
2009-03-03 v1 Number Theory
Abstract
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.
Cite
@article{arxiv.0903.0132,
title = {A generalization of the Picard-Brauer exact sequence},
author = {Cristian D. Gonzalez-Aviles},
journal= {arXiv preprint arXiv:0903.0132},
year = {2009}
}
Comments
9 pages