On the locus of points of high rank

DOI10.1007/s40879-017-0172-2zbMath1401.14219arXiv1703.02829OpenAlexW2596583970WikidataQ59605191 ScholiaQ59605191MaRDI QIDQ1746622

Zach Teitler, Massimiliano Mella, Kangjin Han, Jarosław Buczyński

Publication date: 25 April 2018

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

Full work available at URL: https://arxiv.org/abs/1703.02829

zbMATH Keywords

tensor ranksecant varietysymmetric tensor rankrank locus

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Classical problems, Schubert calculus (14N15)

Related Items (15)

Strict inclusions of high rank loci ⋮ Set evincing the ranks with respect to an embedded variety (symmetric tensor rank and tensor rank) ⋮ Seeking for the maximum symmetric rank ⋮ A note on the maximal rank ⋮ A note on the simultaneous Waring rank of monomials ⋮ Algebraic geometry and representation theory in the study of matrix multiplication complexity and other problems in theoretical computer science ⋮ Labels of real projective varieties ⋮ Binary forms of suprageneric rank and the multiple root loci ⋮ Real rank boundaries and loci of forms ⋮ On minimal decompositions of low rank symmetric tensors ⋮ Skew-symmetric tensor decomposition ⋮ Space curves, \(X\)-ranks and cuspidal projections ⋮ On Strassen's Rank Additivity for Small Three-way Tensors ⋮ Curves in low dimensional projective spaces with the lowest ranks ⋮ The Hitchhiker guide to: secant varieties and tensor decomposition

Uses Software

• Magma

Cites Work

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• Real rank with respect to varieties
• Some examples of forms of high rank
• Computing symmetric rank for symmetric tensors
• On the rank of a binary form
• On the ranks and border ranks of symmetric tensors
• Cuspidal projections of space curves
• Singularities. II: Automorphisms of forms
• The Magma algebra system. I: The user language
• Power sums, Gorenstein algebras, and determinantal loci. With an appendix `The Gotzmann theorems and the Hilbert scheme' by Anthony Iarrobino and Steven L. Kleiman
• Uniform denominators in Hilbert's seventeenth problem
• Ranks of tensors and a generalization of secant varieties
• Progress on the symmetric Strassen conjecture
• On maximum, typical and generic ranks
• Lie groups. An approach through invariants and representations
• Classical Algebraic Geometry
• On the real X-ranks of points of Pn(R) with respect to a real variety X ⊂ Pn
• Joins and higher secant varieties.
• Sums of even powers of real linear forms
• Joins and Intersections
• Four Lectures on Secant Varieties
• ON THE CONCEPT OF k-SECANT ORDER OF A VARIETY

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