Minimal Castelnuovo–Mumford Regularity for a Given Hilbert Polynomial

DOI10.1080/10586458.2015.1020577zbMath1333.13028arXiv1307.2707OpenAlexW1728659285MaRDI QIDQ3194579

Margherita Roggero, Maria Grazia Marinari, Paolo Lella, Francesca Cioffi

Publication date: 20 October 2015

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.2707

zbMATH Keywords

Hilbert functionHilbert polynomialBorel idealCastelnuovo-Mumford regularity of a projective schemeregularity of a Hilbert function

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Syzygies, resolutions, complexes and commutative rings (13D02) Computational aspects in algebraic geometry (14Q99) Calculation of integer sequences (11Y55)

Related Items (4)

Zero-generic initial ideals ⋮ The range of all regularities for polynomial ideals with a given Hilbert function ⋮ When the positivity of the \(h\)-vector implies the Cohen-Macaulay property ⋮ A combinatorial description of finite O-sequences and ACM genera

Cites Work

• Liaison and Cohen-Macaulayness conditions
• A criterion for detecting m-regularity
• Segments and Hilbert schemes of points
• Regularity bounds by minimal generators and Hilbert function
• Eine Bedingung für die Flachheit und das Hilbertpolynom eines graduierten Ringes
• Some properties of Borel ideals
• Connectedness of Hilbert function strata and other connectedness results
• The Hilbert Function of a Reduced K -Algebra
• Betti numbers, castelnuovo mumford regularity, and generalisations of macaulay's theorem
• An efficient implementation of the algorithm computing the Borel-fixed points of a Hilbert scheme
• The Locus of Points of the Hilbert Scheme with Bounded Regularity

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