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arXiv · 0903.0132

A generalization of the Picard-Brauer exact sequence

Cristian D. Gonzalez-Aviles
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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.

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Cristian D. Gonzalez-Aviles. 2009-03-01. A generalization of the Picard-Brauer exact sequence. https://arxiv.org/abs/0903.0132

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