The Lyubeznik table of Sr and CMt rings

We describe the shape of the Lyubeznik table of either rings in positive characteristic or Stanley–Reisner rings in any characteristic when they satisfy Serre’s condition Sr or they are Cohen–Macaulay in a given codimension, condition denoted by CalebMoretonr. We show that these results are sharp....

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Detalhes bibliográficos
Autores: Álvarez Montaner, Josep|||0000-0001-6793-368X, Yassemi, Siamak
Tipo de documento: artigo
Data de publicação:2024
País:España
Recursos:Universitat Politècnica de Catalunya (UPC)
Repositório:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglês
OAI Identifier:oai:upcommons.upc.edu:2117/425054
Acesso em linha:https://hdl.handle.net/2117/425054
https://dx.doi.org/10.1216/jca.2024.16.379
Access Level:Acceso aberto
Palavra-chave:Modules (Algebra)
Ideals (Algebra)
Algebra, Homological
Cohen–Macaulay in a fixed codimension
Lyubeznik table
Serre’s condition
Mòduls, Teoria de
Àlgebra homològica
Classificació AMS::13 Commutative rings and algebras::13C Theory of modules and ideals
Classificació AMS::13 Commutative rings and algebras::13D Homological methods
Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Anells i àlgebres
Descrição
Resumo:We describe the shape of the Lyubeznik table of either rings in positive characteristic or Stanley–Reisner rings in any characteristic when they satisfy Serre’s condition Sr or they are Cohen–Macaulay in a given codimension, condition denoted by CalebMoretonr. We show that these results are sharp.