Star configurations on generic hypersurfaces

DOI10.1016/j.jalgebra.2014.02.013zbMath1303.14062arXiv1204.0475OpenAlexW2963819625MaRDI QIDQ402656

Elena Guardo, Enrico Carlini, Adam Van Tuyl

Publication date: 28 August 2014

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

Full work available at URL: https://arxiv.org/abs/1204.0475

zbMATH Keywords

polynomial decompositiongeneric hypersurfacesstar configurations point

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Enumerative problems (combinatorial problems) in algebraic geometry (14N10)

Related Items (24)

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 ⋮ Secant varieties of the varieties of reducible hypersurfaces in \(\mathbb{P}^n\) ⋮ Unnamed Item ⋮ Matroid configurations and symbolic powers of their ideals ⋮ Decomposition Algorithms for Tensors and Polynomials ⋮ Weak Hadamard star configurations and apolarity ⋮ Betti numbers of symmetric shifted ideals ⋮ Hadamard products of linear spaces ⋮ The symbolic defect of an ideal ⋮ Steiner systems and configurations of points ⋮ A graded minimal free resolution of the $m$-th order symbolic power of a star configuration in $\P^n$ ⋮ The structure and free resolutions of the symbolic powers of star configurations of hypersurfaces ⋮ The minimal free graded resolution of a star-configuration in \(\mathbb{P}^n\) ⋮ Hadamard star configurations ⋮ Unnamed Item ⋮ Hilbert functions of schemes of double and reduced points ⋮ Star-Configurations in ℙⁿand the Weak-Lefschetz Property ⋮ Special apolar subset: the case of star configurations ⋮ Symbolic powers of generalized star configurations of hypersurfaces ⋮ Unnamed Item ⋮ Plane curves containing a star configuration ⋮ The union of two linear star configurations in \(\mathbb{P}^2\) all have generic Hilbert function

Cites Work

• Unnamed Item
• Unnamed Item
• Star configurations in \(\mathbb{P}^n\)
• Containment results for ideals of various configurations of points in \(\mathbb P^N\)
• Combinatorial bounds on Hilbert functions of fat points in projective space
• Complete intersections on general hypersurfaces
• Minimally generating ideals defining certain tangent cones
• Complete intersection subvarieties of general hypersurfaces
• Complete intersection points on general surfaces in \(\mathbb P^{3}\)
• On the first infinitesimal neighborhood of a linear configuration of points in \(\mathbb P^2\)
• Binary decompositions and varieties of sums of binaries
• Are symbolic powers highly evolved?
• Star configuration points and generic plane curves
• THE MINIMAL FREE RESOLUTION OF A STAR-CONFIGURATION IN ?ⁿAND THE WEAK LEFSCHETZ PROPERTY

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