Tensor rank on tangent developable of Segre varieties

Ballico, Edoardo ; Bernardi, Alessandra (2011) Tensor rank on tangent developable of Segre varieties. [Preprint]

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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.

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Ballico, Edoardo
Bernardi, Alessandra
Secant varieties; tensor rank; tangent developable; Segre Varieties; Comon’s conjecture.
Deposit date
22 Jul 2011 08:30
Last modified
22 Jul 2011 08:30

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