Journal of the Ramanujan Mathematical Society

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The Units-Picard Complex of a Reductive Group Scheme


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1 Departamento de Matematicas, Universidad de La Serena, Cisternas 1200, La Serena 1700000, Chile
     

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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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  • The Units-Picard Complex of a Reductive Group Scheme

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Authors

Cristian D. Gonzalez-Aviles
Departamento de Matematicas, Universidad de La Serena, Cisternas 1200, La Serena 1700000, Chile

Abstract


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.

References