Resolutions of ideals of fat points with support in a hyperplane

DOI10.1090/S0002-9939-06-08514-5zbMath1160.13006arXivmath/0502418OpenAlexW1660257345MaRDI QIDQ3419929

Anna Lorenzini, Giuliana Fatabbi, Brian Harbourne

Publication date: 1 February 2007

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

Full work available at URL: https://arxiv.org/abs/math/0502418

zbMATH Keywords

minimal free resolutiongraded free resolutionfat point scheme

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Rational and unirational varieties (14M20) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (6)

Segre's Bound and the Case ofn+ 2 Fat Points of ℙⁿ ⋮ Higher distances for constant dimensions codes: the case of osculating spaces to a Veronese variety ⋮ Containment results for ideals of various configurations of points in \(\mathbb P^N\) ⋮ Inductively computable unions of fat linear subspaces ⋮ Resolutions of ideals of any six fat points in \(\mathbb{P}^{2}\) ⋮ Combinatorial bounds on Hilbert functions of fat points in projective space

Cites Work

• Free resolutions of fat point ideals on \(\mathbb{P}^2\)
• On the graded resolution of ideals of a few general fat points of \(\mathbb P^n\)
• On the first infinitesimal neighborhood of a linear configuration of points in \(\mathbb P^2\)
• Resolutions of small sets of fat points
• Fat points on a conic
• Betti numbers of some monomial ideals
• On the resolution of ideals of fat points
• Resolutions of fat points ideals involving eight general point of \(\mathbb{P}^2\)

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