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Journal of the Ramanujan Mathematical Society

Volume 34, Issue 2, June 2019  pp. 191–230.

The units-Picard complex of a reductive group scheme

Authors:  Cristian D. González-Avilés
Author institution:Departamento de Matemáticas, Universidad de La Serena, Cisternas 1200, La Serena 1700000, Chile

Summary:  Let S be a locally noetherian regular scheme. We compute the units-Picard complex of a reductive S-group scheme G in terms of the dual algebraic fundamental complex of G. To this end, we establish a units-Picard-Brauer exact sequence for a torsor under a smooth S-group scheme.

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