Lyubeznik table of sequentially Cohen-Macaulay rings

We prove that sequentially Cohen-Macaulay rings in positive characteristic, as well as sequentially Cohen-Macaulay Stanley-Reisner rings in any characteristic, have trivial Lyubeznik table. Some other configurations of Lyubeznik tables are also provided depending on the deficiency modules of the rin...

Descripción completa

Detalles Bibliográficos
Autor: Álvarez Montaner, Josep|||0000-0001-6793-368X
Tipo de recurso: artículo
Fecha de publicación:2015
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:2117/84954
Acceso en línea:https://hdl.handle.net/2117/84954
https://dx.doi.org/10.1080/00927872.2014.923894
Access Level:acceso abierto
Palabra clave:Cohen-Macaulay rings
Lyubeznik numbers
Sequentially Cohen-Macaulay rings
local cohomology modules
finiteness properties
numbers
invariants
ideals
Àlgebra commutativa
Anells commutatius
Àrees temàtiques de la UPC::Matemàtiques i estadística
Descripción
Sumario:We prove that sequentially Cohen-Macaulay rings in positive characteristic, as well as sequentially Cohen-Macaulay Stanley-Reisner rings in any characteristic, have trivial Lyubeznik table. Some other configurations of Lyubeznik tables are also provided depending on the deficiency modules of the ring.