Locally generated by sections
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Locally generated by sections
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Witryna30 lip 2011 · Here is the result of Gabber: Theorem 1 Given a scheme , there is a cardinal such that any quasi-coherent sheaf on is the filtered colimit of its quasi-coherent subsheaves of rank . Here having “rank ” means that a quasi-coherent sheaf is locally generated by sections. For a quasi-compact, quasi-separated scheme, we can take …
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