Product Ranks of the 3 × 3 Determinant and Permanent
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Publication:2810709
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
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 Kd ⊗ Kd ⊗ Kd in arbitrary characteristic ⋮ The Waring Rank of the 3 x 3 Permanent
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