Lyubeznik tables of S_r and CM_r rings

2024/07/29 by Montaner, Josep Àlvarez, Yassemi, Siamak
#Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.2407.20129

Abstract

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 S_r or they are Cohen-Macaulay in a given codimension, condition denoted by CM_r. Moreover we show that these results are sharp.

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