Castelnuovo-Mumford regularity, postulation numbers and relation types

DOI10.1016/J.JALGEBRA.2014.07.014zbMath1310.13027OpenAlexW1967719597MaRDI QIDQ406592

Linh Cao Huy, Markus P. Brodmann

Publication date: 8 September 2014

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2014.07.014

zbMATH Keywords

Castelnuovo-Mumford regularityuniform boundHuneke's relation type conjecture

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Local cohomology and commutative rings (13D45)

Related Items (3)

On Hilbert-Samuel coefficients of graded local cohomology modules ⋮ Hilbert coefficients and the depth of associated graded rings with respect to parameter ideals ⋮ Castelnuovo-Mumford regularity and Hilbert coefficients of parameter ideals

Cites Work

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• The Reduction Number of an Ideal and the Local Cohomology of the Associated Graded Ring
• The relation-type conjecture holds for rings with finite local cohomology
• Castelnuovo–Mumford Regularity of Annihilators, Ext and Tor Modules
• Upper Bound for the Castelnuovo-Mumford Regularity of Associated Graded Modules
• Reduction numbers of equimultiple ideals

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