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arXiv · 0905.0319

Note on the Serre-Swan Theorem

Archana S. Morye
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Abstract

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.

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Archana S. Morye. 2009-05-04. Note on the Serre-Swan Theorem. https://arxiv.org/abs/0905.0319

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