Some examples of forms of high rank

DOI10.1007/s13348-015-0152-0zbMath1346.13055arXiv1503.08253OpenAlexW2194423346MaRDI QIDQ314649

Zach Teitler, Jarosław Buczyński

Publication date: 16 September 2016

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.08253

zbMATH Keywords

Waring rankapolaritypower sum decompositions

Mathematics Subject Classification ID

Polynomials, factorization in commutative rings (13P05) Multilinear algebra, tensor calculus (15A69) Classical problems, Schubert calculus (14N15)

Related Items (14)

Generic power sum decompositions and bounds for the Waring rank ⋮ Strict inclusions of high rank loci ⋮ Set evincing the ranks with respect to an embedded variety (symmetric tensor rank and tensor rank) ⋮ Seeking for the maximum symmetric rank ⋮ A note on the simultaneous Waring rank of monomials ⋮ High-rank ternary forms of even degree ⋮ Binary forms of suprageneric rank and the multiple root loci ⋮ The monic rank ⋮ On the locus of points of high rank ⋮ Sufficient conditions for Strassen's additivity conjecture ⋮ Ranks and Singularities of Cubic Surfaces ⋮ Maximum Waring Ranks of Monomials and Sums of Coprime Monomials ⋮ Waring rank of binary forms, harmonic cross-ratio and golden ratio ⋮ The Hitchhiker guide to: secant varieties and tensor decomposition

Cites Work

• Unnamed Item
• Unnamed Item
• Waring decompositions of monomials
• Lower bound for ranks of invariant forms
• On the ranks and border ranks of symmetric tensors
• Decomposition of quantics in sums of powers of linear forms
• 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
• Generic power sum decompositions and bounds for the Waring rank
• On the rank of a symmetric form
• An upper bound for the Waring rank of a form
• On maximum, typical and generic ranks
• Maximum Waring Ranks of Monomials and Sums of Coprime Monomials
• Symmetric tensors: rank, Strassen's conjecture and e-computability
• ON DIFFERENCES BETWEEN THE BORDER RANK AND THE SMOOTHABLE RANK OF A POLYNOMIAL
• Every ternary quintic is a sum of ten fifth powers
• Symmetric Tensors and Symmetric Tensor Rank
• On the Length of Binary Forms
• Representations of multivariate polynomials by sums of univariate polynomials in linear forms

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