Linear systems in ℙ² with base points of bounded multiplicity

DOI10.1090/S1056-3911-06-00447-4zbMath1115.14003arXivmath/0406591OpenAlexW2086391670MaRDI QIDQ3424125

Stephanie Yang

Publication date: 15 February 2007

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0406591

zbMATH Keywords

linear systemsHilbert functionfat points

Mathematics Subject Classification ID

Divisors, linear systems, invertible sheaves (14C20)

Related Items (10)

Positivity of line bundles on general blow ups of \(\mathbb{P}^2\) ⋮ Harbourne–Hirschowitz surfaces whose anticanonical divisors consist only of three irreducible components ⋮ New constructions of nef classes on self-products of curves ⋮ Postulation of general quintuple fat point schemes in \(\mathbb P^3\) ⋮ On the Hilbert function of general fat points in \(\mathbb{P}^1\times\mathbb{P}^1\) ⋮ The role of the cotangent bundle in resolving ideals of fat points in the plane ⋮ Interpolation on surfaces in ℙ³ ⋮ On the minimal free resolution for fat point schemes of multiplicity at most 3 in \(\mathbb P ^2\) ⋮ Betti numbers for fat point ideals in the plane: A geometric approach ⋮ Curves having one place at infinity and linear systems on rational surfaces

Cites Work

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• Existence de faisceaux réflexifs de rang deux sur \({\mathbb{P}}^ 3\) à bonne cohomologie. (Existence of reflexive sheaves of rank two on \({\mathbb{P}}^ 3\) with good homology)
• Une conjecture pour la cohomologie des diviseurs sur les surfaces rationelles génériques.
• Degenerations of Planar Linear Systems
• Linear systems of plane curves with base points of equal multiplicity
• On the 14-th Problem of Hilbert

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