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- W2896584103 abstract "For a noetherian scheme that has an ample family of invertible sheaves, we prove that direct products in the category of quasi-coherent sheaves are not exact unless the scheme is affine. This result can especially be applied to all quasi-projective schemes over commutative noetherian rings. The main tools of the proof are the Gabriel-Popescu embedding and Roos' characterization of Grothendieck categories satisfying Ab6 and Ab4*." @default.
- W2896584103 created "2018-10-26" @default.
- W2896584103 creator A5088277091 @default.
- W2896584103 date "2018-10-20" @default.
- W2896584103 modified "2023-09-25" @default.
- W2896584103 title "Non-exactness of direct products of quasi-coherent sheaves" @default.
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- W2896584103 doi "https://doi.org/10.25537/dm.2019v24.2037-2056" @default.
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