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Results tagged with quasi-coherent-modules
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user 24965
2
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Is an infinite direct sum of quasi-coherent $\mathcal{O}_X$-modules quasi-coherent on a comp...
On any ringed space $(X,\mathcal{O}_X)$ we can define quasi-coherent $\mathcal{O}_X$-modules: A sheaf of $\mathcal{O}_X$-modules $\mathcal{F}$ is quasi-coherent if for every point $x\in X$ there exis …
- 9,009
3
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411
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What kind of ringed space $X$ has the property that a locally free sheaf is projective in Qc...
It is well known that for an affine scheme $X$, every finitely generated locally free sheaf $\mathcal{E}$ is projective in the category Qcoh$(X)$. i.e. the functor $\text{Hom}_{\text{Qcoh}(X)}(\mathca …
- 9,009