Fat points of \({\mathbb{P}}^n\) whose support is contained in a linear proper subspace.

DOI10.1016/S0022-4049(00)00084-0zbMath1033.14032OpenAlexW2037881829MaRDI QIDQ5939903

Anna Lorenzini, Simona Franceschini

Publication date: 9 October 2001

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(00)00084-0

zbMATH Keywords

Hilbert functionfat pointsregularity index

Mathematics Subject Classification ID

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

Related Items (8)

Higher distances for constant dimensions codes: the case of osculating spaces to a Veronese variety ⋮ Graded betti numbers and shifts of the symbolic power of a general star configuration in ℙⁿ ⋮ A graded minimal free resolution of the $m$-th order symbolic power of a star configuration in $\P^n$ ⋮ Inductively computable unions of fat linear subspaces ⋮ The regularity index of up to \(2n-1\) equimultiple fat points of \(\mathbb{P}^n\) ⋮ The Hilbert function of some Hadamard products ⋮ Combinatorial bounds on Hilbert functions of fat points in projective space ⋮ On a sharp bound for the regularity index of any set of fat points

Cites Work

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• The ideal of forms vanishing at a finite set of points in \({\mathbb{P}}^ n\)
• Regularity index of fat points in the projective plane
• Inverse system of a symbolic power. I
• Inverse system of a symbolic power. II: The Waring problem for forms
• On the Hilbert function of fat points on a rational normal cubic
• Fat points on a conic
• A Sharp Bound for the Regularity Index of Fat Points in General Position

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