A generalization of the Picard-Brauer exact sequence

2009/03/01 by Cristian D. Gonzalez-Aviles, Cristian D. González-Avilés, Gonzalez-Aviles, Cristian D.
Mathematics · #14C15 #14C25 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Advanced Mathematical Theories #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #math.AG #math.NT #msc:14C15 #msc:14C25

paper · pdf · doi:10.48550/arxiv.0903.0132

9 pages

arxiv created 2009/03/01 · openalex publication_date 2009/03/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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