Regularity index of fat points in the projective plane

DOI10.1006/jabr.1994.1370zbMath0821.14031OpenAlexW2032113726MaRDI QIDQ1340983

Giuliana Fatabbi

Publication date: 3 October 1995

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

Full work available at URL: https://doi.org/10.1006/jabr.1994.1370

zbMATH Keywords

Hilbert functionfat pointsindex of regularitypoints in general position

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 (10)

Segre's Bound and the Case ofn+ 2 Fat Points of ℙⁿ ⋮ Castelnuovo-Mumford regularity and Bridgeland stability of points in the projective plane ⋮ On Segre's bound for fat points in \(\mathbb{P}^n\) ⋮ Regularity Index ofS + 2 Fat Points not on a Linear (S − 1)-Space ⋮ The regularity index of up to \(2n-1\) equimultiple fat points of \(\mathbb{P}^n\) ⋮ On a sharp bound for the regularity index of any set of fat points ⋮ Fat points of \({\mathbb{P}}^n\) whose support is contained in a linear proper subspace. ⋮ On the resolution of ideals of fat points ⋮ On the regularity index of s fat points not on a linear (r−1)-space, s≤r+3 ⋮ Segre bound for the regularity index of fat points in \(\mathbb{P}^3\)

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