Waring problems and the Lefschetz properties

DOI10.1007/s00029-023-00840-3OpenAlexW3036897327MaRDI QIDQ2700586

Publication date: 27 April 2023

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.10865

Mathematics Subject Classification ID

Factorization of matrices (15A23) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Graded rings (13A02) Multilinear algebra, tensor calculus (15A69) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Classical problems, Schubert calculus (14N15) Configurations and arrangements of linear subspaces (14N20)

Cites Work

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Waring decompositions of monomials
A comparison of different notions of ranks of symmetric tensors
On cubic hypersurfaces with vanishing Hessian
Symmetric tensor decomposition
Higher order Jacobians, Hessians and Milnor algebras
Dual homogeneous forms and varieties of power sums
On the geometry of some special projective varieties
Homaloidal hypersurfaces and hypersurfaces with vanishing Hessian
On the ranks and border ranks of symmetric tensors
A geometrical approach to Gordan-Noether's and Franchetta's contributions to a question posed by Hesse
The topology of complex projective varieties after S. Lefschetz
The blowing up Horace method: Application to interpolation in degree four
Hilbert functions of graded algebras
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
When does the Hessian determinant vanish identically? (On Gordan and Noether's proof of Hesse's claim)
Inverse system of a symbolic power. II: The Waring problem for forms
On the cactus rank of cubic forms
The solution to the Waring problem for monomials and the sum of coprime monomials
On mixed Hessians and the Lefschetz properties
Vanishing Hessian, wild forms and their border VSP
Lefschetz elements of Artinian Gorenstein algebras and hessians of homogeneous polynomials
Lefschetz properties and basic constructions on simplicial spheres
The Lefschetz properties
On the rank of a symmetric form
The strong Lefschetz property of the coinvariant ring of the Coxeter group of type \(H_{4}\)
Lefschetz properties for Artinian Gorenstein algebras presented by quadrics
The Lefschetz property for barycentric subdivisions of shellable complexes
Weyl Groups, the Hard Lefschetz Theorem, and the Sperner Property
ON DIFFERENCES BETWEEN THE BORDER RANK AND THE SMOOTHABLE RANK OF A POLYNOMIAL
Symmetric Tensors and Symmetric Tensor Rank
Secant varieties to high degree Veronese reembeddings, catalecticant matrices and smoothable Gorenstein schemes

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