Non-linear behaviour of Castelnuovo-Mumford regularity

DOI10.1016/j.jalgebra.2012.02.003zbMath1346.13034OpenAlexW1974004142MaRDI QIDQ713399

Marcel Morales, Lê Tuân Hoa

Publication date: 29 October 2012

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2012.02.003

zbMATH Keywords

Castelnuovo-Mumford regularitypowers of idealslex-segment ideal

Mathematics Subject Classification ID

Syzygies, resolutions, complexes and commutative rings (13D02) Local cohomology and commutative rings (13D45)

Uses Software

• CoCoA

Cites Work

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• Linear free resolutions and minimal multiplicity
• Minimal resolutions of some monomial ideals
• Hilbert functions of graded algebras over Artinian rings
• On the asymptotic linearity of Castelnuovo-Mumford regularity.
• Castelnuovo-Mumford regularity of initial ideals
• Asymptotic linear bounds for the Castelnuovo-Mumford regularity
• Finiteness of Hilbert functions and bounds for Castelnuovo-Mumford regularity of initial ideals
• Hilbert polynomials and powers of ideals
• Regularity index of Hilbert functions of powers of ideals
• Asymptotic behaviour of Castelnuovo-Mumford regularity
• Regularity of lex-segment ideals: Some closed formulas and applications