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- W4300774163 abstract "We give a purely algebraic construction of the continuous closure of any finitely generated torsion free module; a concept first studied by H.~Brenner and M.~Hochster. The construction implies that, at least in characteristic 0, taking continuous closure commutes with flat morphisms whose fibers are semi-normal. This implies that the continuous closure of a coherent ideal sheaf is again a coherent ideal sheaf (both in the Zariski and in the 'etale topologies) and it commutes with field extensions." @default.
- W4300774163 created "2022-10-04" @default.
- W4300774163 creator A5051485543 @default.
- W4300774163 date "2010-10-26" @default.
- W4300774163 modified "2023-10-14" @default.
- W4300774163 title "Continuous closure of sheaves" @default.
- W4300774163 doi "https://doi.org/10.48550/arxiv.1010.5480" @default.
- W4300774163 hasPublicationYear "2010" @default.
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