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- W4288283469 abstract "We develop the theory of coregular sequences and codepth for modules that need not be finitely generated or artinian over a Noetherian ring. We use this theory to give a new version of a theorem of Hellus characterizing set-theoretic complete intersections in terms of local cohomology modules. We also define quasi-cyclic modules as increasing unions of cyclic modules, and show that modules of codepth at least two are quasi-cyclic. We then focus our attention on curves in projective three-space and give a number of necessary conditions for a curve to be a set-theoretic complete intersection. Thus an example of a curve for which any of these necessary conditions does not hold would provide a negative answer to the still open problem, whether every connected curve in projective three-space is a set-theoretic complete intersection" @default.
- W4288283469 created "2022-07-28" @default.
- W4288283469 creator A5055740712 @default.
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- W4288283469 date "2019-07-11" @default.
- W4288283469 modified "2023-10-17" @default.
- W4288283469 title "Quasi-cyclic modules and coregular sequences" @default.
- W4288283469 doi "https://doi.org/10.48550/arxiv.1907.05472" @default.
- W4288283469 hasPublicationYear "2019" @default.
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