Note on the Serre-Swan Theorem

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dc.creatorMorye, Archana S.
dc.date2009-05-04
dc.date.accessioned2026-07-07T13:11:23Z
dc.date.available2026-07-07T13:11:23Z
dc.descriptionWe determine a class of ringed space X, for which the category of locally free sheaves of bounded rank is equivalent to the category of finitely generated projective A(X)-modules, where A(X) denote the ring of global sections of X. The well-known Serre-Swan theorems for affine schemes, differentiable manifolds, Stein spaces, etc., are then derived.
dc.description8 pages; Accepted for publication in Mathematische Nachrichten
dc.identifierhttps://arxiv.org/abs/0905.0319
dc.identifierhttp://arxiv.org/abs/0905.0319
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229271
dc.subjectAlgebraic Geometry
dc.subject14F05 (Primary); 16D40, 18F20 (Secondary)
dc.titleNote on the Serre-Swan Theorem
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