Lyubeznik tables of $S_r$ and $C{M}_r$ rings

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 $C{M}_r$. Moreover we show that these results are sharp.

arXiv comment10 pages. To appear in J. Commut. Algebra