On the resolution of ideals of fat points

DOI10.1006/jabr.2001.8798zbMath0984.14016OpenAlexW2054800425MaRDI QIDQ5945613

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Publication date: 4 May 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.2001.8798

zbMATH Keywords

minimal free resolutionfat pointsBetti numbersHilbert functionsminimal system of generators

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (22)

Betti splitting via componentwise linear ideals ⋮ Rational normal curves and Hadamard products ⋮ Splittings of monomial ideals ⋮ Splittable ideals and the resolutions of monomial ideals ⋮ Linear resolutions of t-spread lexsegment ideals via Betti splittings ⋮ On Segre's bound for fat points in \(\mathbb{P}^n\) ⋮ Multigraded minimal free resolutions of simplicial subclutters ⋮ Inductively computable unions of fat linear subspaces ⋮ Projective dimension and regularity of the path ideal of the line graph ⋮ From grids to pseudo-grids of lines: Resolution and seminormality ⋮ Monomial ideals, edge ideals of hypergraphs, and their graded Betti numbers ⋮ A class of square-free monomial ideals associated to two integer sequences ⋮ On the first infinitesimal neighborhood of a linear configuration of points in \(\mathbb P^2\) ⋮ On the graded resolution of ideals of a few general fat points of \(\mathbb P^n\) ⋮ Some Families of Componentwise Linear Monomial Ideals ⋮ Projective dimension and regularity of powers of edge ideals of vertex-weighted rooted forests ⋮ Regularity in weighted oriented graphs ⋮ Projective dimension and regularity of edge ideals of some weighted oriented graphs ⋮ A hypergraph characterization of nearly complete intersections ⋮ Projective dimension of hypergraphs ⋮ Resolutions of ideals of fat points with support in a hyperplane ⋮ Resolutions of small sets of fat points

Uses Software

• CoCoA

Cites Work

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• The ideal of forms vanishing at a finite set of points in \({\mathbb{P}}^ n\)
• Minimal resolutions of some monomial ideals
• Betti numbers of perfect homogeneous ideals
• La methode d'Horace pour l'interpolation à plusieurs variables
• A new explicit finite free resolution of ideals generated by monomials in an R-sequence
• On Segre bound for the regularity index of fat points in \(\mathbb{P}^2\)
• The minimal resolution conjecture
• Regularity index of fat points in the projective plane
• Some features of \(CoCoA 3\)
• Segre bound for the regularity index of fat points in \(\mathbb{P}^3\)
• On the Hilbert function of fat points on a rational normal cubic
• Ideals defined by matrices and a certain complex associated with them
• Fat points on a conic
• A Sharp Bound for the Regularity Index of Fat Points in General Position
• A Generalized Koszul Complex. II. Depth and Multiplicity
• On a sharp bound for the regularity index of any set of fat points

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