Lyubeznik table of sequentially Cohen-Macaulay rings
Josep Alvarez Montaner

TL;DR
This paper proves that certain classes of sequentially Cohen-Macaulay rings have trivial Lyubeznik tables, providing new insights into their algebraic structure and configurations based on deficiency modules.
Contribution
It establishes that sequentially Cohen-Macaulay rings in positive characteristic and Stanley-Reisner rings in any characteristic have trivial Lyubeznik tables, expanding understanding of their invariants.
Findings
Sequentially Cohen-Macaulay rings in positive characteristic have trivial Lyubeznik tables.
Stanley-Reisner rings in any characteristic also have trivial Lyubeznik tables.
Additional Lyubeznik table configurations are characterized by deficiency modules.
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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Taxonomy
TopicsCommutative Algebra and Its Applications · Polynomial and algebraic computation · Algebraic structures and combinatorial models
