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arXiv · 1105.3643

On the identifiability of binary Segre products

Cristiano Bocci·Luca Chiantini
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Abstract

We prove that a product of $m>5$ copies of $\PP^1$, embedded in the projective space $\PP^r$ by the standard Segre embedding, is $k$-identifiable (i.e. a general point of the secant variety $S^k(X)$ is contained in only one $(k+1)$-secant $k$-space), for all $k$ such that $k+1\leq 2^{m-1}/m$.

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Cristiano Bocci, Luca Chiantini. 2011-05-18. On the identifiability of binary Segre products. https://arxiv.org/abs/1105.3643

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