Grassmann secants, identifiability, and linear systems of tensors

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Abstract

For any irreducible non-degenerate variety X Pr, we give a criterion for the (k, s)-identifiability of X. If k≤s-1<r, then the (k, s)-identifiability holds for X if and only if the s-identifiability holds for the Segre product Seg( Pk×X). Moreover, if the s-th secant variety of X is not defective and it does not fill the ambient space, then we can produce a family of pairs (k, s) for which the (k, s)-identifiability holds for X. © 2012 Elsevier Inc. All rights reserved.

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Ballico, E., Bernardi, A., Catalisano, M. V., & Chiantini, L. (2013). Grassmann secants, identifiability, and linear systems of tensors. Linear Algebra and Its Applications, 438(1), 121–135. https://doi.org/10.1016/j.laa.2012.07.045

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