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Journal Articles Linear Algebra and its Applications Year : 2013

Grassmann secants and linear systems of tensors

Abstract

For any irreducible non-degenerate variety $X \subset \mathbb{P}^r$ , we relate the dimension of the $s$-th secant varieties of the Segre embedding of $\mathbb{P}^k\times X$ to the dimension of the $(k,s)$-Grassmann secant variety $GS_X(k,s)$ of $X$. We also give a criterion for the $s$-identifiability of $X$.
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Dates and versions

inria-00637780 , version 1 (02-11-2011)

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Edoardo Ballico, Alessandra Bernardi, Maria Virgina Catalisano, Luca Chiantini. Grassmann secants and linear systems of tensors. Linear Algebra and its Applications, 2013, 438, pp.121-135. ⟨10.1016/j.laa.2012.07.045⟩. ⟨inria-00637780⟩
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