On the ranks of the third secant variety of Segre–Veronese embeddings

DOI10.1080/03081087.2018.1430117zbMath1407.15032arXiv1701.06845OpenAlexW2962691187MaRDI QIDQ4622872

Alessandra Bernardi, Edoardo Ballico

Publication date: 18 February 2019

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.06845

zbMATH Keywords

tensor rankborder rankpartially symmetric tensor

Mathematics Subject Classification ID

Projective techniques in algebraic geometry (14N05) Multilinear algebra, tensor calculus (15A69)

Related Items (1)

Identifiability of rank-3 tensors

Cites Work

• Decomposition of homogeneous polynomials with low rank
• On the third secant variety
• Computing symmetric rank for symmetric tensors
• On the rank of a binary form
• On the ranks and border ranks of symmetric tensors
• Tensor decomposition and homotopy continuation
• Ranks of tensors and a generalization of secant varieties
• Stratification of the fourth secant variety of Veronese varieties via the symmetric rank
• Tensor ranks on tangent developable of Segre varieties
• A uniqueness result on the decompositions of a bi-homogeneous polynomial
• Curvilinear schemes and maximum rank of forms

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