Seeking for the maximum symmetric rank

DOI10.3390/math6110247zbMath1405.15004OpenAlexW2900224119WikidataQ128931997 ScholiaQ128931997MaRDI QIDQ1634715

Alessandro De Paris

Publication date: 18 December 2018

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math6110247

zbMATH Keywords

symmetric tensortensor rankpower sumWaring rank

Mathematics Subject Classification ID

Multilinear algebra, tensor calculus (15A69) Vector spaces, linear dependence, rank, lineability (15A03)

Cites Work

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• The asymptotic leading term for maximum rank of ternary forms of a given degree
• Some examples of forms of high rank
• Apolarity and canonical forms for homogeneous polynomials
• High-rank ternary forms of even degree
• On the locus of points of high rank
• 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 solution to the Waring problem for monomials and the sum of coprime monomials
• Generic power sum decompositions and bounds for the Waring rank
• An upper bound for the Waring rank of a form
• On the Alexander-Hirschowitz theorem
• On maximum, typical and generic ranks
• A Proof that the Maximal Rank for Plane Quartics is Seven
• Maximum Waring Ranks of Monomials and Sums of Coprime Monomials
• Every ternary quintic is a sum of ten fifth powers
• Representations of multivariate polynomials by sums of univariate polynomials in linear forms

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