Note on the Serre-Swan Theorem

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We 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.
8 pages; Accepted for publication in Mathematische Nachrichten

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Algebraic Geometry, 14F05 (Primary); 16D40, 18F20 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/229271

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0905.0319
 http://arxiv.org/abs/0905.0319

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arXiv