2026-04-17T02:29:30Zhttps://recercat.cat/oai/requestoai:recercat.cat:2117/4235152026-01-14T05:29:09Zcom_2072_1033col_2072_452950
RECERCAT
author
Fernandez Boix, Alberto
author
Eghbali, Majid
2023-06
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.Partially supported by Spanish Ministerio de Economía y Competitividad grant PID2019-104844GB-I00.Peer ReviewedPreprint
Open Access
Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra
Local cohomology
Ring endomorphisms
Annihilators
Lyubeznik numbers
Cohomological dimension
Sequentially Cohen–Macaulay rings
Certain endomorphism rings of local cohomology modules and Lyubeznik numbers
Article