Lyubeznik tables of Sr and CMr 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 CMr. Moreover we show that these results are sharp.

Bibliographic Details
Authors: Álvarez Montaner, Josep|||0000-0001-6793-368X, Yassemi, Siamak
Format: report
Publication Date:2024
Country:España
Institution:Universitat Politècnica de Catalunya (UPC)
Repository:UPCommons. Portal del coneixement obert de la UPC
Language:English
OAI Identifier:oai:upcommons.upc.edu:2117/424683
Online Access:https://hdl.handle.net/2117/424683
https://dx.doi.org/doi.org/10.48550/arXiv.2407.20129
Access Level:Open access
Keyword:Commutative rings
Anells (Àlgebra)
Classificació AMS::13 Commutative rings and algebras
Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Anells i àlgebres
Description
Summary: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 CMr. Moreover we show that these results are sharp.