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 $X$.
Grassmann secants, identifiability, and linear systems of tensors / Edoardo Ballico; Alessandra Bernardi; Maria Virginia Catalisano; Luca Chiantini. - In: LINEAR ALGEBRA AND ITS APPLICATIONS. - ISSN 0024-3795. - STAMPA. - 438:(2013), pp. 121-135. [10.1016/j.laa.2012.07.045]
Grassmann secants, identifiability, and linear systems of tensors
BERNARDI, ALESSANDRA;
2013
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 $X$.File in questo prodotto:
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