2026-04-13T06:50:55Zhttps://recercat.cat/oai/request

oai:recercat.cat:2117/4235152026-01-14T05:29:09Zcom_2072_1033col_2072_452950

urn:hdl:2117/423515 Certain endomorphism rings of local cohomology modules and Lyubeznik numbers Fernandez Boix, Alberto Eghbali, Majid Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra Local cohomology Ring endomorphisms Annihilators Lyubeznik numbers Cohomological dimension Sequentially Cohen–Macaulay rings 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 Reviewed Preprint 2023-06 Article https://www.worldscientific.com/doi/10.1142/S0218196723500340 info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-104844GB-I00/ES/ALGEBRA CONMUTATIVA Y SUS INTERACCIONES/ Open Access