Apolarity for determinants and permanents of generic matrices
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Publication:2259545
DOI10.1216/JCA-2015-7-1-89zbMath1364.13024arXiv1303.1860OpenAlexW2962703218MaRDI QIDQ2259545
Publication date: 4 March 2015
Published in: Journal of Commutative Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1303.1860
Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Classical problems, Schubert calculus (14N15)
Related Items (10)
A note on algebraic techniques for subgraph detection ⋮ On the nuclear norm and the singular value decomposition of tensors ⋮ A bound for the Waring rank of the determinant via syzygies ⋮ On centres and direct sum decompositions of higher degree forms ⋮ Syzygies of the apolar ideals of the determinant and permanent ⋮ Koszul-Young flattenings and symmetric border rank of the determinant ⋮ Fano schemes for generic sums of products of linear forms ⋮ Lower bound for ranks of invariant forms ⋮ The Waring Rank of the 3 x 3 Permanent ⋮ An improved upper bound for the Waring rank of the determinant
Uses Software
Cites Work
- Waring decompositions of monomials
- Apolarity and direct sum decomposability of polynomials
- On the ranks and border ranks of symmetric tensors
- Gröbner bases and multiplicity of determinantal and Pfaffian ideals
- Permanental ideals
- Power sums, Gorenstein algebras, and determinantal loci. With an appendix `The Gotzmann theorems and the Hilbert scheme' by Anthony Iarrobino and Steven L. Kleiman
- On the cactus rank of cubic forms
- The solution to the Waring problem for monomials and the sum of coprime monomials
- On the rank of a symmetric form
- A Pfaffian-Hafnian analogue of Borchardt's identity
- A mixing procedure of two viscous fluids using some homogenization tools
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