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...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2023 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/423522 |
| Acceso en línea: | https://hdl.handle.net/2117/423522 https://dx.doi.org/10.1007/s12215-022-00821-z |
| Access Level: | acceso abierto |
| Palabra clave: | Local cohomology Ring endomorphism Set-theoretically Cohen–Macaulay ideals Linkage Cohomological dimension Projective dimension Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra |
| Sumario: | 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. |
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