Identifiability beyond Kruskal's bound for symmetric tensors of degree 4

DOI10.4171/RLM/817zbMath1400.14112arXiv1712.04211OpenAlexW2774948065WikidataQ114021395 ScholiaQ114021395MaRDI QIDQ1650838

Nick Vannieuwenhoven, Elena Angelini, Luca Chiantini

Publication date: 13 July 2018

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.04211

zbMATH Keywords

Waring decompositionCayley-Bacharach propertyCastelnuovo's lemmaidentifiability of symmetric tensorsKruskal's criterion

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Divisors, linear systems, invertible sheaves (14C20) Projective techniques in algebraic geometry (14N05) Multilinear algebra, tensor calculus (15A69) Hypersurfaces and algebraic geometry (14J70)

Related Items (13)

On the identifiability of ternary forms ⋮ Algebraic geometry and representation theory in the study of matrix multiplication complexity and other problems in theoretical computer science ⋮ On the description of identifiable quartics ⋮ Identifiability for a class of symmetric tensors ⋮ Embedded varieties, \(X\)-ranks and uniqueness or finiteness of the solutions ⋮ An algorithm for the non-identifiability of rank-3 tensors ⋮ Unnamed Item ⋮ On a geometric method for the identifiability of forms ⋮ Large families of homogeneous polynomials with non-unique additive decompositions ⋮ On the Terracini locus of projective varieties ⋮ Identifiability of rank-3 tensors ⋮ Reconstruction of a homogeneous polynomial from its additive decompositions when identifiability fails ⋮ Minimality and uniqueness for decompositions of specific ternary forms

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