Minimal free resolutions for subschemes of star configurations

DOI10.1016/j.jpaa.2015.06.010zbMath1333.13034OpenAlexW1424155465MaRDI QIDQ886981

Alfio Ragusa, Giuseppe Zappalá

Publication date: 27 October 2015

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2015.06.010

zbMATH Keywords

minimal free resolutionschemestar configuration

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Configurations and arrangements of linear subspaces (14N20)

Related Items (3)

Demailly's conjecture and the containment problem ⋮ Minimal free resolutions for homogeneous ideals with Betti numbers 1, n, n,1 ⋮ The union of two linear star configurations in \(\mathbb{P}^2\) all have generic Hilbert function

Cites Work

• Star configurations in \(\mathbb{P}^n\)
• Progress in commutative algebra 1. Combinatorics and homology
• Liaison des variétés algébriques. I
• Partial intersections and graded Betti numbers
• The minimal free graded resolution of a star-configuration in \(\mathbb{P}^n\)
• Tower sets and other configurations with the Cohen-Macaulay property
• On the first infinitesimal neighborhood of a linear configuration of points in \(\mathbb P^2\)
• PROPERTIES OF 3-CODIMENSIONAL GORENSTEIN SCHEMES
• Are symbolic powers highly evolved?
• Comparing powers and symbolic powers of ideals

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