A Sharp Bound for the Regularity Index of Fat Points in General Position

DOI10.2307/2160111zbMath0787.14030OpenAlexW4248536530MaRDI QIDQ4201598

Maria Virginia Catalisano, Ngô Viêt Trung, Giuseppe Valla

Publication date: 1 September 1993

Full work available at URL: https://doi.org/10.2307/2160111

zbMATH Keywords

Hilbert functionregularity indexpoints in general positionfat schemes

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Multiplicity theory and related topics (13H15) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Divisors, linear systems, invertible sheaves (14C20) Projective techniques in algebraic geometry (14N05)

Related Items (20)

An algebraic approach to the regularity index of fat points in \(P^ n\) ⋮ Distinguishing \(\Bbbk\)-configurations ⋮ On invariant of the regularity index of fat points ⋮ Kähler differential algebras for 0-dimensional schemes ⋮ On Segre's bound for fat points in \(\mathbb{P}^n\) ⋮ A brief proof of a maximal rank theorem for generic double points in projective space ⋮ The regularity of points in multi-projective spaces. ⋮ The regularity index of up to \(2n-1\) equimultiple fat points of \(\mathbb{P}^n\) ⋮ Asymptotic regularity of powers of ideals of points in a weighted projective plane ⋮ 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 ⋮ Asymptotic linear bounds for the Castelnuovo-Mumford regularity ⋮ Regularity and Koszul property of symbolic powers of monomial ideals ⋮ Higher infinitesimal neighbourhoods ⋮ Segre bound for the regularity index of fat points in \(\mathbb{P}^3\) ⋮ Fat points on rational normal curves ⋮ On linear systems with multiple points on a rational normal curve ⋮ Kähler differentials and Kähler differents for fat point schemes ⋮ Upper bounds for the regularity of symbolic powers of certain classes of edge ideals

Cites Work

• Regularity of linear systems of plane curves
• La methode d'Horace pour l'interpolation à plusieurs variables
• Remarks on the postulation of zero-dimensional subschemes of projective space
• Linear systems of plane curves through fixed fat points of \(\mathbb{P}^ 2\)
• Complete Linear Systems on Rational Surfaces
• Fat points on a conic
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