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

DOI10.1016/j.jalgebra.2019.03.014zbMath1422.14057arXiv1502.00167OpenAlexW2962979867MaRDI QIDQ2414550

Brian Harbourne, Yong Su Shin, Juan C. Migliore, Uwe Nagel, Alessandro Gimigliano, Maria Virginia Catalisano, Anthony V. Geramita

Publication date: 17 May 2019

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

Full work available at URL: https://arxiv.org/abs/1502.00167

zbMATH Keywords

intersection theorysecant varietyweak Lefschetz PropertyFroeberg's Conjecturevariety of reducible formsvariety of reducible hypersurfaces

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Classical problems, Schubert calculus (14N15)

Related Items (11)

On the strength of general polynomials ⋮ Graded betti numbers and shifts of the symbolic power of a general star configuration in ℙⁿ ⋮ Waring-like decompositions of polynomials. I. ⋮ Unnamed Item ⋮ Matroid configurations and symbolic powers of their ideals ⋮ Strength and slice rank of forms are generically equal ⋮ Generic forms of low Chow rank ⋮ A graded minimal free resolution of the $m$-th order symbolic power of a star configuration in $\P^n$ ⋮ Algebraic stories from one and from the other pockets ⋮ The Hitchhiker guide to: secant varieties and tensor decomposition ⋮ The union of two linear star configurations in \(\mathbb{P}^2\) all have generic Hilbert function

Uses Software

• CoCoA
• Macaulay2

Cites Work

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