# On the identifiability of binary Segre products

@inproceedings{Bocci2011OnTI,
title={On the identifiability of binary Segre products},
author={Cristiano Bocci and Luca Chiantini},
year={2011}
}
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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## ON THE NON-DEFECTIVITY AND THE GENERIC $k$-IDENTIFIABILITY FOR SEGRE EMBEDDINGS OF PRODUCTS OF PROJECTIVE VARIETIES

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## Effective Criteria for Specific Identifiability of Tensors and Forms

• SIAM J. Matrix Analysis Applications
• 2016
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## Grassmann secants and linear systems of tensors

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