Graded betti numbers and shifts of the symbolic power of a general star configuration in ℙn (Q5080236)

scientific article; zbMATH DE number 7534175

Language	Label	Description	Also known as
English	Graded betti numbers and shifts of the symbolic power of a general star configuration in ℙ<sup><i>n</i></sup>	scientific article; zbMATH DE number 7534175

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instance of

scholarly article

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title

Graded betti numbers and shifts of the symbolic power of a general star configuration in ℙn (English)

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Communications in Algebra

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publication date

31 May 2022

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zbMATH Keywords

symbolic powers

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regular powers

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star configurations

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graded minimal free resolutions

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Betti numbers

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1080/00927872.2022.2036179

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cites work

THE MINIMAL FREE RESOLUTION OF A STAR-CONFIGURATION IN ?nAND THE WEAK LEFSCHETZ PROPERTY

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The Waldschmidt constant for squarefree monomial ideals

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Betti numbers of symmetric shifted ideals

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Comparing powers and symbolic powers of ideals

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The resurgence of ideals of points and the containment problem

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Secant varieties of the varieties of reducible hypersurfaces in $\mathbb{P}^n$

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The Waldschmidt constant of special $\Bbbk$-configurations in $\mathbb{P}^n$

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Star configurations on generic hypersurfaces

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Star configuration points and generic plane curves

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Combinatorial bounds on Hilbert functions of fat points in projective space

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Linear subspaces, symbolic powers and Nagata type conjectures

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Fat points of ${\mathbb{P}}^n$ whose support is contained in a linear proper subspace.

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Q3129746

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On the ideal generated by all squarefree monomials of a given degree

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The symbolic defect of an ideal

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Distinguishing $\Bbbk$-configurations

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Star configurations in $\mathbb{P}^n$

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Matroid configurations and symbolic powers of their ideals

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On the first infinitesimal neighborhood of a linear configuration of points in $\mathbb P^2$

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Powers of complete intersections: Graded Betti numbers and applications

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The ideal generation problem for fat points

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Are symbolic powers highly evolved?

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On the configurations of points in $\mathbb{P}^2$ with the Waldschmidt constant equal to two

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Componentwise linear ideals

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Resolutions by mapping cones

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The representation theory of the symmetric groups

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On the containment hierarchy for simplicial ideals

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The structure and free resolutions of the symbolic powers of star configurations of hypersurfaces

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The minimal free graded resolution of a star-configuration in $\mathbb{P}^n$

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A graded minimal free resolution of the $m$-th order symbolic power of a star configuration in $\P^n$

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Q2716065

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SECANTS TO THE VARIETY OF COMPLETELY REDUCIBLE FORMS AND THE HILBERT FUNCTION OF THE UNION OF STAR-CONFIGURATIONS

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Star-Configurations in ℙ2Having Generic Hilbert Function and the Weak Lefschetz Property

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Q4614797

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Q5732721

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Identifiers

zbMATH Open document ID

1490.13004

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DOI

10.1080/00927872.2022.2036179

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:5080236

Graded betti numbers and shifts of the symbolic power of a general star configuration in ℙ<sup><i>n</i></sup> (Q5080236)

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Identifiers

Sitelinks

Mathematics(1 entry)