Perazzo hypersurfaces and the weak Lefschetz property
From MaRDI portal
Publication:6196143
DOI10.1016/j.jalgebra.2024.02.009arXiv2402.09188OpenAlexW4391934312MaRDI QIDQ6196143
Josep M. Pérez, Rosa Maria Miró-Roig
Publication date: 14 March 2024
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2402.09188
Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A tour of the weak and strong Lefschetz properties
- Homaloidal hypersurfaces and hypersurfaces with vanishing Hessian
- Bounds and asymptotic minimal growth for Gorenstein Hilbert functions
- A geometrical approach to Gordan-Noether's and Franchetta's contributions to a question posed by Hesse
- Hilbert functions of graded algebras
- Homogeneous quasi-translations in dimension 5
- On higher Hessians and the Lefschetz properties
- Power sums, Gorenstein algebras, and determinantal loci. With an appendix `The Gotzmann theorems and the Hilbert scheme' by Anthony Iarrobino and Steven L. Kleiman
- The weak and strong Lefschetz properties for Artinian \(K\)-algebras
- When does the Hessian determinant vanish identically? (On Gordan and Noether's proof of Hesse's claim)
- On the arithmetic Cohen-Macaulayness of varieties parameterized by Togliatti systems
- Lefschetz elements of Artinian Gorenstein algebras and hessians of homogeneous polynomials
- Perazzo 3-folds and the weak Lefschetz property
- Monomial ideals, almost complete intersections and the Weak Lefschetz property
- Laplace Equations and the Weak Lefschetz Property
- On the Theory of Gordan-Noether on Homogeneous Forms with Zero Hessian (Improved Version)
- On the weak Lefschetz property for height four equigenerated complete intersections
- On minimal Gorenstein Hilbert functions