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ag.algebraic geometry - Use of flattening stratification (from Nitsure's construction of Hilbert and Quot schemes) - MathOverflow
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algebraic geometry - About equivalence between geometric vector bundles and locally free $\mathcal{O}_X$-modules of finite rank - Mathematics Stack Exchange
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algebraic geometry - Functor from the locally free sheaves to the vector bundles. Is the proof correct? - Mathematics Stack Exchange
![SOLVED: Prove that a finitely generated module over a P.I.D. is projective if and only if it is free. SOLVED: Prove that a finitely generated module over a P.I.D. is projective if and only if it is free.](https://cdn.numerade.com/project-universal/previews/94bdda65-193d-4941-865f-4c7303305315.gif)
SOLVED: Prove that a finitely generated module over a P.I.D. is projective if and only if it is free.
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