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- W4366999519 abstract "Our main goal in this paper is to answer new positive cases of the natural generalized version of Hartshorne's celebrated question on cofiniteness of local cohomology modules, and consequently of Huneke's conjecture on the finiteness of their sets of associated primes. Our approach, by means of which we extend several results from the literature, is essentially based on spectral sequence techniques and connections to numerical invariants such as the cohomological dimension and the Gorenstein projective dimension. We also provide, over a polynomial ring, a rather pathological example of a non weakly Laskerian module (i.e., it admits a quotient with infinitely many associated primes) whose first local cohomology module is non-zero and has finitely many associated primes." @default.
- W4366999519 created "2023-04-27" @default.
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- W4366999519 date "2023-04-22" @default.
- W4366999519 modified "2023-10-18" @default.
- W4366999519 title "Generalized Hartshorne's problem on finiteness properties of local cohomology modules" @default.
- W4366999519 doi "https://doi.org/10.48550/arxiv.2304.11493" @default.
- W4366999519 hasPublicationYear "2023" @default.
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