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- W4300468085 abstract "We study two notions of purity in categories of sheaves: the categorical and the geometric. It is shown that pure injective envelopes exist in both cases under very general assumptions on the scheme. Finally we introduce the class of locally absolutely pure (quasi--coherent) sheaves, with respect to the geometrical purity, and characterize locally Noetherian closed subschemes of a projective scheme in terms of the new class." @default.
- W4300468085 created "2022-10-03" @default.
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- W4300468085 date "2013-07-05" @default.
- W4300468085 modified "2023-09-29" @default.
- W4300468085 title "Pure injective and absolutely pure sheaves" @default.
- W4300468085 doi "https://doi.org/10.48550/arxiv.1307.1729" @default.
- W4300468085 hasPublicationYear "2013" @default.
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