Distinguishing \(\Bbbk\)-configurations

zbMath1397.13020arXiv1705.09195MaRDI QIDQ1670786

Federico Galetto, Yong Su Shin, Adam Van Tuyl

Publication date: 6 September 2018

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.09195

zbMATH Keywords

varieties defined by ring conditionsHilbert-Samuel and Hilbert-Kunz functions

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 (5)

Graded betti numbers and shifts of the symbolic power of a general star configuration in ℙⁿ ⋮ The Waldschmidt constant of special \(\Bbbk\)-configurations in \(\mathbb{P}^n\) ⋮ Unnamed Item ⋮ Fat points, partial intersections and Hamming distance ⋮ A graded minimal free resolution of the $m$-th order symbolic power of a star configuration in $\P^n$

Uses Software

• CoCoA

Cites Work

• Unnamed Item
• Star configurations in \(\mathbb{P}^n\)
• Combinatorial bounds on Hilbert functions of fat points in projective space
• On Hilbert functions of reduced and of integral algebras
• \(k\)-configurations in \(\mathbb{P}^3\) all have extremal resolutions
• Extremal point sets and Gorenstein ideals
• Some examples of unimodal Gorenstein sequences
• Almost maximal growth of the Hilbert function
• On the first infinitesimal neighborhood of a linear configuration of points in \(\mathbb P^2\)
• A Sharp Bound for the Regularity Index of Fat Points in General Position
• Geometric Consequences of Extremal Behavior in a Theorem of Macaulay
• Decompositions of the Hilbert Function of a Set of Points in ℙⁿ
• An alternative to the Hilbert function for the ideal of a finite set of points in \(\mathbb P^n\)

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