A generalization of the Picard-Brauer exact sequence

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/221908We 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.9 pagesAlgebraic GeometryNumber Theory14C15; 14C25A generalization of the Picard-Brauer exact sequencetext