Star configuration points and generic plane curves

DOI10.1090/S0002-9939-2011-11204-8zbMath1247.14051arXiv1001.4504OpenAlexW2049108579MaRDI QIDQ3103886

Adam Van Tuyl, Enrico Carlini

Publication date: 13 December 2011

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

Full work available at URL: https://arxiv.org/abs/1001.4504

zbMATH Keywords

star configurationsgeneric plane curves

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Plane and space curves (14H50)

Related Items (18)

The secant line variety to the varieties of reducible plane curves ⋮ Graded betti numbers and shifts of the symbolic power of a general star configuration in ℙⁿ ⋮ The Waldschmidt constant of special \(\Bbbk\)-configurations in \(\mathbb{P}^n\) ⋮ Demailly's conjecture and the containment problem ⋮ Decomposition Algorithms for Tensors and Polynomials ⋮ Star configurations on generic hypersurfaces ⋮ Hadamard products of linear spaces ⋮ A graded minimal free resolution of the $m$-th order symbolic power of a star configuration in $\P^n$ ⋮ The minimal free graded resolution of a star-configuration in \(\mathbb{P}^n\) ⋮ Hadamard star configurations ⋮ Unnamed Item ⋮ On the Hartshorne-Hirschowitz theorem ⋮ Hilbert functions of schemes of double and reduced points ⋮ Star-Configurations in ℙⁿand the Weak-Lefschetz Property ⋮ Unnamed Item ⋮ Plane curves containing a star configuration ⋮ The union of two linear star configurations in \(\mathbb{P}^2\) all have generic Hilbert function ⋮ SECANTS TO THE VARIETY OF COMPLETELY REDUCIBLE FORMS AND THE HILBERT FUNCTION OF THE UNION OF STAR-CONFIGURATIONS

Uses Software

• CoCoA

Cites Work

• Unnamed Item
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• Combinatorial bounds on Hilbert functions of fat points in projective space
• Complete intersections on general hypersurfaces
• Complete intersection subvarieties of general hypersurfaces
• Complete intersection points on general surfaces in \(\mathbb P^{3}\)
• On the hypersurface of Lüroth quartics
• On the first infinitesimal neighborhood of a linear configuration of points in \(\mathbb P^2\)
• Comparing powers and symbolic powers of ideals

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