Note on the Serre-Swan Theorem
Algebraic Geometry
2009-05-05 v1
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.
Cite
@article{arxiv.0905.0319,
title = {Note on the Serre-Swan Theorem},
author = {Archana S. Morye},
journal= {arXiv preprint arXiv:0905.0319},
year = {2009}
}
Comments
8 pages; Accepted for publication in Mathematische Nachrichten