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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