The units-Picard complex of a reductive group scheme
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math.NT
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schemecomplexreductives-groupunits-picardalgebraiccomputedual
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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 do so, we establish a units-Picard-Brauer exact sequence for a torsor under a smooth S-group scheme.
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