Abelian tensors
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Publication:2398420
DOI10.1016/j.matpur.2016.11.004zbMath1386.14191arXiv1504.03732OpenAlexW3037004955WikidataQ114148674 ScholiaQ114148674MaRDI QIDQ2398420
Mateusz Michałek, Joseph M. Landsberg
Publication date: 16 August 2017
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1504.03732
Group actions on varieties or schemes (quotients) (14L30) Projective techniques in algebraic geometry (14N05) Multilinear algebra, tensor calculus (15A69)
Related Items (30)
On Comon's and Strassen's conjectures ⋮ Components and singularities of Quot schemes and varieties of commuting matrices ⋮ A Counterexample to Comon's Conjecture ⋮ Bounds on complexity of matrix multiplication away from Coppersmith-Winograd tensors ⋮ A note on the gap between rank and border rank ⋮ On the geometry of geometric rank ⋮ Geometric conditions for strict submultiplicativity of rank and border rank ⋮ Algebraic geometry and representation theory in the study of matrix multiplication complexity and other problems in theoretical computer science ⋮ On the Geometry of Border Rank Decompositions for Matrix Multiplication and Other Tensors with Symmetry ⋮ The symmetric rank and decomposition of \(m\)-order \(n\)-dimensional \((n = 2,3,4)\) symmetric tensors over the binary field ⋮ Concise tensors of minimal border rank ⋮ Bad and good news for Strassen's laser method: border rank of \(\mathrm{Perm}_3\) and strict submultiplicativity ⋮ Irreversibility of structure tensors of modules ⋮ New lower bounds for matrix multiplication and ⋮ More on Tensors with Different Rank and Symmetric Rank ⋮ Plethysm and fast matrix multiplication ⋮ Vanishing Hessian, wild forms and their border VSP ⋮ Geometric rank and linear determinantal varieties ⋮ Unnamed Item ⋮ Towards a geometric approach to Strassen's asymptotic rank conjecture ⋮ Tensor Rank is Hard to Approximate ⋮ Unnamed Item ⋮ On Strassen's Rank Additivity for Small Three-way Tensors ⋮ Singular tuples of matrices is not a null cone (and the symmetries of algebraic varieties) ⋮ Barriers for fast matrix multiplication from irreversibility ⋮ The Hitchhiker guide to: secant varieties and tensor decomposition ⋮ The Waring Rank of the 3 x 3 Permanent ⋮ Hermitian K-theory via oriented Gorenstein algebras ⋮ Guarantees for Existence of a Best Canonical Polyadic Approximation of a Noisy Low-Rank Tensor ⋮ Rank decomposition and symmetric rank decomposition over arbitrary fields
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