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

DOI10.1080/00927872.2022.2036179zbMath1490.13004OpenAlexW4223482503MaRDI QIDQ5080236

Jung Pil Park, Yong Su Shin

Publication date: 31 May 2022

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

Full work available at URL: https://doi.org/10.1080/00927872.2022.2036179

zbMATH Keywords

Betti numberssymbolic powersregular powersstar configurationsgraded minimal free resolutions

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items

The union of two linear star configurations in \(\mathbb{P}^2\) all have generic Hilbert function

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Star configurations in \(\mathbb{P}^n\)
• Star configurations on generic hypersurfaces
• On the containment hierarchy for simplicial ideals
• Combinatorial bounds on Hilbert functions of fat points in projective space
• The representation theory of the symmetric groups
• Resolutions by mapping cones
• Distinguishing \(\Bbbk\)-configurations
• The symbolic defect of an ideal
• The ideal generation problem for fat points
• The Waldschmidt constant of special \(\Bbbk\)-configurations in \(\mathbb{P}^n\)
• On the ideal generated by all squarefree monomials of a given degree
• Betti numbers of symmetric shifted ideals
• The minimal free graded resolution of a star-configuration in \(\mathbb{P}^n\)
• Secant varieties of the varieties of reducible hypersurfaces in \(\mathbb{P}^n\)
• Linear subspaces, symbolic powers and Nagata type conjectures
• On the first infinitesimal neighborhood of a linear configuration of points in \(\mathbb P^2\)
• The Waldschmidt constant for squarefree monomial ideals
• Powers of complete intersections: Graded Betti numbers and applications
• On the configurations of points in \(\mathbb{P}^2\) with the Waldschmidt constant equal to two
• Are symbolic powers highly evolved?
• Star-Configurations in ℙ²Having Generic Hilbert Function and the Weak Lefschetz Property
• Star configuration points and generic plane curves
• SECANTS TO THE VARIETY OF COMPLETELY REDUCIBLE FORMS AND THE HILBERT FUNCTION OF THE UNION OF STAR-CONFIGURATIONS
• THE MINIMAL FREE RESOLUTION OF A STAR-CONFIGURATION IN ?ⁿAND THE WEAK LEFSCHETZ PROPERTY
• The resurgence of ideals of points and the containment problem
• Comparing powers and symbolic powers of ideals
• Componentwise linear ideals
• 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
• Matroid configurations and symbolic powers of their ideals
• Fat points of \({\mathbb{P}}^n\) whose support is contained in a linear proper subspace.