We describe the stratification by tensor rank of the points belonging to the tangent developable of any Segre variety. We give algorithms to compute the rank and a decomposition of a tensor belonging to the secant variety of lines of any Segre variety. We prove Comon’s conjecture on the rank of symmetric tensors for those tensors belonging to tangential varieties to Veronese varieties.
Tensor ranks on tangent developable of Segre varieties / Ballico, Edoardo; Bernardi, Alessandra. - In: LINEAR & MULTILINEAR ALGEBRA. - ISSN 0308-1087. - STAMPA. - 61:7(2013), pp. 881-894. [10.1080/03081087.2012.716430]
Tensor ranks on tangent developable of Segre varieties
Ballico, Edoardo;Bernardi, Alessandra
2013-01-01
Abstract
We describe the stratification by tensor rank of the points belonging to the tangent developable of any Segre variety. We give algorithms to compute the rank and a decomposition of a tensor belonging to the secant variety of lines of any Segre variety. We prove Comon’s conjecture on the rank of symmetric tensors for those tensors belonging to tangential varieties to Veronese varieties.File in questo prodotto:
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