Regularity index of Hilbert functions of powers of ideals

DOI10.1090/S0002-9939-09-09640-3zbMath1168.13015OpenAlexW2021528307MaRDI QIDQ3631818

Tran Nam Trung

Publication date: 22 June 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-09-09640-3

zbMATH Keywords

Hilbert functionHilbert polynomialregularity indexArtinian ring

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)

Related Items

Multigraded Castelnuovo-Mumford regularity via Klyachko filtrations ⋮ Partial Castelnuovo–Mumford regularities of sums and intersections of powers of monomial ideals ⋮ Non-linear behaviour of Castelnuovo-Mumford regularity

Cites Work

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• On local cohomology and Hilbert function of powers of ideals
• Combinatorics and commutative algebra.
• On the asymptotic linearity of Castelnuovo-Mumford regularity.
• Asymptotic behaviour of Castelnuovo-Mumford regularity