Product Ranks of the 3 × 3 Determinant and Permanent

DOI10.4153/CMB-2015-076-1zbMath1346.15004arXiv1503.00822MaRDI QIDQ2810709

Zach Teitler, Nathan Owen Ilten

Publication date: 3 June 2016

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.00822

zbMATH Keywords

determinantpermanenttensor rankFano schemesproduct rank

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Determinantal varieties (14M12) Multilinear algebra, tensor calculus (15A69) Canonical forms, reductions, classification (15A21) Classical problems, Schubert calculus (14N15)

Related Items (11)

A bound for the Waring rank of the determinant via syzygies ⋮ On the tensor rank of $3\times 3$ permanent and determinant ⋮ On Fano Schemes of Toric Varieties ⋮ Koszul-Young flattenings and symmetric border rank of the determinant ⋮ Bad and good news for Strassen's laser method: border rank of \(\mathrm{Perm}_3\) and strict submultiplicativity ⋮ Waring rank of symmetric tensors, and singularities of some projective hypersurfaces ⋮ Fano schemes for generic sums of products of linear forms ⋮ Rank and border rank of Kronecker powers of tensors and Strassen's laser method ⋮ Fano schemes of complete intersections in toric varieties ⋮ Explicit tensors of border rank at least 2d−2 in K^d ⊗ K^d ⊗ K^d in arbitrary characteristic ⋮ The Waring Rank of the 3 x 3 Permanent

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