A new class of non-identifiable skew-symmetric tensors

DOI10.1007/s10231-018-0734-zzbMath1403.15017arXiv1606.04158OpenAlexW2963011522WikidataQ114228234 ScholiaQ114228234MaRDI QIDQ1756419

Alessandra Bernardi, Davide Vanzo

Publication date: 14 January 2019

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.04158

zbMATH Keywords

Grassmannianssecant varietyskew-symmetric tensors

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Grassmannians, Schubert varieties, flag manifolds (14M15) Projective techniques in algebraic geometry (14N05) Multilinear algebra, tensor calculus (15A69)

Related Items (10)

On tangential weak defectiveness and identifiability of projective varieties ⋮ A note on the maximal rank ⋮ Multiplicity and indiscernibility ⋮ From non-defectivity to identifiability ⋮ An algorithm for the non-identifiability of rank-3 tensors ⋮ Skew-symmetric tensor decomposition ⋮ Typical and admissible ranks over fields ⋮ Partially symmetric tensor rank: the description of the non-uniqueness case for low rank ⋮ Identifiability of rank-3 tensors ⋮ The Hitchhiker guide to: secant varieties and tensor decomposition

Uses Software

• GAP
• Macaulay2
• Bertini
• SLA
• SeDiMO

Cites Work

• Singularities of duals of Grassmannians
• A remark on the geometry of elliptic scrolls and bielliptic surfaces
• Tensor decomposition and homotopy continuation
• Homotopy techniques for tensor decomposition and perfect identifiability
• Weakly defective varieties
• Non-defectivity of Grassmannians of planes
• Vector Bundles Over an Elliptic Curve
• Singularities of linear systems and the Waring problem
• Secant Dimensions of Minimal Orbits: Computations and Conjectures
• Varieties with an extremal number of degenerate higher secant varieties.
• Closures of Equivalence Classes of Trivectors of an Eight-Dimensional Complex Vector Space
• THE GEOMETRY OF BIELLIPTIC SURFACES IN ℙ⁴
• Secant varieties of Grassmann varieties
• On Generic Identifiability of 3-Tensors of Small Rank
• An Algorithm For Generic and Low-Rank Specific Identifiability of Complex Tensors
• ON THE CONCEPT OF k-SECANT ORDER OF A VARIETY
• Complex Fibre Bundles and Ruled Surfaces
• Foundations of a General Theory of Birational Correspondences
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