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Note on the Serre-Swan theorem

Authors

  • Archana S. Morye

    Corresponding author
    1. Harish-Chandra Research Institute, Chhatnag Road, Jhusi, Allahabad 211 019, India
    • Harish-Chandra Research Institute, Chhatnag Road, Jhusi, Allahabad 211 019, India. Phone: +91 44 6748 0900, Fax: +91 44 2747 0225
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Abstract

We determine a class of ringed spaces, equation image for which the category of locally free sheaves of bounded rank over X is equivalent to the category of finitely generated projective equation image-modules. The well-known Serre-Swan theorems for affine schemes, differentiable manifolds, Stein spaces, etc., are then derived.

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