Lyubeznik Table of Sequentially Cohen–Macaulay Rings

Author: Àlvarez Montaner Josep  

Publisher: Taylor & Francis Ltd

E-ISSN: 1532-4125|43|9|3695-3704

ISSN: 0092-7872

Source: Communications in Algebra, Vol.43, Iss.9, 2015-09, pp. : 3695-3704

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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.