Tensor ranks on tangent developable of Segre varieties
Algebraic Geometry
2013-12-05 v2
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.
Keywords
Cite
@article{arxiv.1210.7976,
title = {Tensor ranks on tangent developable of Segre varieties},
author = {Edoardo Ballico and Alessandra Bernardi},
journal= {arXiv preprint arXiv:1210.7976},
year = {2013}
}
Comments
Remarks 1 and 2 modified with respect to the published version. No modifications in the main Theorem and its proof