Certain endomorphism rings of local cohomology modules and Lyubeznik numbers
The goal of this paper is twofold: on the one hand, motivated by questions raised by Schenzel, we explore situations where the Hartshorne–Lichtenbaum Vanishing theorem for local cohomology fails, leading us to simpler expressions of certain local cohomology modules. As application, we give new expre...
| Autores: | , |
|---|---|
| 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:2117/423515 |
| Acceso en línea: | https://hdl.handle.net/2117/423515 https://dx.doi.org/10.1142/s0218196723500340 |
| Access Level: | acceso abierto |
| Palabra clave: | Local cohomology Ring endomorphisms Annihilators Lyubeznik numbers Cohomological dimension Sequentially Cohen–Macaulay rings Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra |
| Sumario: | The goal of this paper is twofold: on the one hand, motivated by questions raised by Schenzel, we explore situations where the Hartshorne–Lichtenbaum Vanishing theorem for local cohomology fails, leading us to simpler expressions of certain local cohomology modules. As application, we give new expressions of the endomorphism ring of these modules. On the other hand, building upon previous work by Àlvarez Montaner, we exhibit the shape of Lyubeznik tables of the so-called partially sequentially Cohen–Macaulay rings as introduced by Sbarra and Strazzanti. |
|---|