Open -ranks with respect to Segre and Veronese varieties

DOI10.1285/i15900932v41n1p19zbMath1476.14089OpenAlexW3184256814MaRDI QIDQ4957780

Edoardo Ballico

Publication date: 9 September 2021

Full work available at URL: http://siba-ese.unisalento.it/index.php/notemat/article/view/24150

zbMATH Keywords

Segre varietyVeronese varietysecant varietyborder rankopen rankopen \(X\)-rank

Mathematics Subject Classification ID

Multilinear algebra, tensor calculus (15A69) Secant varieties, tensor rank, varieties of sums of powers (14N07)

Cites Work

• Computing symmetric rank for symmetric tensors
• On the ranks and border ranks of symmetric tensors
• Finite subsets of projective spaces with bad postulation in a fixed degree
• Generic power sum decompositions and bounds for the Waring rank
• On the partially symmetric rank of tensor products of \(W\)-states and other symmetric tensors
• An upper bound for the Waring rank of a form
• Stratification of the fourth secant variety of Veronese varieties via the symmetric rank
• Joins and higher secant varieties.
• Representations of multivariate polynomials by sums of univariate polynomials in linear forms
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