An improved upper bound for the Waring rank of the determinant

DOI10.1216/jca.2022.14.415zbMath1502.14136arXiv2004.06158OpenAlexW3016336073MaRDI QIDQ2108558

Garritt Johns, Zach Teitler

Publication date: 19 December 2022

Published in: Journal of Commutative Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.06158

zbMATH Keywords

determinantWaring ranksymmetric rank

Mathematics Subject Classification ID

Secant varieties, tensor rank, varieties of sums of powers (14N07)

Uses Software

• MathOverflow

Cites Work

• On the nuclear norm and the singular value decomposition of tensors
• Lower bound for ranks of invariant forms
• Koszul-Young flattenings and symmetric border rank of the determinant
• On the ranks and border ranks of symmetric tensors
• On polynomials with given Hilbert function and applications
• Power sums, Gorenstein algebras, and determinantal loci. With an appendix `The Gotzmann theorems and the Hilbert scheme' by Anthony Iarrobino and Steven L. Kleiman
• Rank and border rank of Kronecker powers of tensors and Strassen's laser method
• A bound for the Waring rank of the determinant via syzygies
• Apolarity for determinants and permanents of generic matrices
• Identifiability for a class of symmetric tensors
• On the rank of a symmetric form
• Classical Algebraic Geometry
• Varieties of sums of power
• On the tensor rank of $3\times 3$ permanent and determinant
• A Rank 18 Waring Decomposition of sM_〈3〉 with 432 Symmetries
• New lower bounds for matrix multiplication and

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