Tensor ranks on tangent developable of Segre varieties |
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Authors: | E Ballico |
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Institution: | Department of Mathematics , University of Trento , 38123 Povo (TN) , Italy |
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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. |
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Keywords: | secant varieties tensor rank tangent developable Segre varieties Comon's conjecture |
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