An upper bound for the symmetric tensor rank of a low degree polynomial in a large number of variables

DOI10.1155/2013/715907zbMath1307.15035OpenAlexW2040997540WikidataQ58920025 ScholiaQ58920025MaRDI QIDQ2260774

Edoardo Ballico

Publication date: 12 March 2015

Published in: Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/715907

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Projective techniques in algebraic geometry (14N05)

Related Items (3)

Symmetric tensor rank over an infinite field ⋮ An upper bound for the tensor rank ⋮ Symmetric tensor rank and scheme rank: an upper bound in terms of secant varieties

Cites Work

• Computing symmetric rank for symmetric tensors
• On the rank of a binary form
• On the ranks and border ranks of symmetric tensors
• The blowing up Horace method: Application to interpolation in degree four
• Ranks of tensors and a generalization of secant varieties
• On the Alexander-Hirschowitz theorem
• Joins and higher secant varieties.
• Tensor Rank and the Ill-Posedness of the Best Low-Rank Approximation Problem

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