A note on the simultaneous Waring rank of monomials

zbMath1394.05141arXiv1711.00089MaRDI QIDQ1670791

Emanuele Ventura, Enrico Carlini

Publication date: 6 September 2018

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.00089

zbMATH Keywords

complex simultaneous Waring rank for collections of monomials

Mathematics Subject Classification ID

Related Items (3)

Distinguishing secant from cactus varieties ⋮ More on Tensors with Different Rank and Symmetric Rank ⋮ Partially Symmetric Variants of Comon's Problem Via Simultaneous Rank

Uses Software

• Macaulay2

Cites Work

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• Sufficient conditions for Strassen's additivity conjecture
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• 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
• Waring loci and the Strassen conjecture
• On maximum, typical and generic ranks
• Tensor decompositions for learning latent variable models
• Secant dimensions of low-dimensional homogeneous varieties
• Symmetric tensors: rank, Strassen's conjecture and e-computability
• Higher Secant Varieties of ℙⁿ × ℙ¹Embedded in Bi-Degree (a,b)

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