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Lyubeznik table of sequentially Cohen-Macaulay rings

2014/09/26 by Josep Alvarez Montaner, Montaner, Josep Alvarez
Mathematics · #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC

paper · pdf · doi:10.48550/arxiv.1409.7531

9 pages, accepted in Communications in Algebra

arxiv created 2014/09/26 · arxiv updated 2014/09/29

Abstract

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.

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