Vanishing of local cohomology and set-theoretically Cohen–Macaulay ideals

In this paper, first, we generalize a result of Peskine–Szpiro on the relation between the cohomological dimension and projective dimension. Then, we give conditions for the vanishing of local cohomology from local to global and vice versa. Our final goal in the present paper is to examine the set-t...

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Bibliographic Details
Published in:Rendiconti del Circolo matematico di Palermo 2023-11, Vol.72 (7), p.3305-3323
Main Authors: Eghbali, Majid, Boix, Alberto F.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Geometry
Homology
Mathematics
Mathematics and Statistics
Citations: Items that this one cites
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Summary:In this paper, first, we generalize a result of Peskine–Szpiro on the relation between the cohomological dimension and projective dimension. Then, we give conditions for the vanishing of local cohomology from local to global and vice versa. Our final goal in the present paper is to examine the set-theoretically Cohen–Macaulay ideals to find some cohomological characterization of these kinds of ideals.
ISSN:0009-725X
1973-4409
DOI:10.1007/s12215-022-00821-z