Every ternary quintic is a sum of ten fifth powers

DOI10.1142/S0218196715500125zbMath1322.11105arXiv1409.7643MaRDI QIDQ5256844

Alessandro De Paris

Publication date: 29 June 2015

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.7643

zbMATH Keywords

symmetric tensortensor rankWaring rank

Mathematics Subject Classification ID

Waring's problem and variants (11P05) General ternary and quaternary quadratic forms; forms of more than two variables (11E20)

Related Items (9)

Generic power sum decompositions and bounds for the Waring rank ⋮ The asymptotic leading term for maximum rank of ternary forms of a given degree ⋮ Seeking for the maximum symmetric rank ⋮ Some examples of forms of high rank ⋮ The monic rank ⋮ Remarks on the Symmetric Rank of Symmetric Tensors ⋮ Maximum Waring Ranks of Monomials and Sums of Coprime Monomials ⋮ Algebraic stories from one and from the other pockets ⋮ The Hitchhiker guide to: secant varieties and tensor decomposition

Cites Work

• Unnamed Item
• On the rank of a binary form
• 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
• An upper bound for the Waring rank of a form
• On the Tangentially Degenerate Curves
• Lower bounds for polar and tensor ranks

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