A computation of the Castelnuovo-Mumford regularity of certain two-dimensional unmixed ideals

DOI10.1080/00927872.2019.1710169zbMath1453.13050OpenAlexW3000221891MaRDI QIDQ5107035

Phan Thi Thuy, Nguyên Công Minh

Publication date: 22 April 2020

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2019.1710169

zbMATH Keywords

Castelnuovo-Mumford regularityconnected graphmonomial ideals\(a_i\)-invariants

Mathematics Subject Classification ID

Computational aspects and applications of commutative rings (13P99) Local cohomology and commutative rings (13D45)

Related Items (1)

On the level property of two-dimensional monomial ideals

Uses Software

• CoCoA

Cites Work

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• Castelnuovo-Mumford regularity of symbolic powers of two-dimensional square-free monomial ideals
• Beurling spectrum of a function in a Banach space
• Symbolic powers of monomial ideals and vertex cover algebras
• Regularity of powers of cover ideals of unimodular hypergraphs
• Combinatorics and commutative algebra.
• Regularity of symbolic powers and arboricity of matroids
• Tetrahedral curves via graphs and Alexander duality
• Asymptotic linear bounds for the Castelnuovo-Mumford regularity
• Castelnuovo-Mumford regularity and the reduction number of some monomial curves
• Unmixed Monomial Ideals of Dimension Two and Their Cohen–Macaulay Properties
• Regularity of the powers of an ideal

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