For any irreducible non-degenerate variety X ⊂ P r , 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 (P k × 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.

Grassmann secants, identifiability, and linear systems of tensors / Ballico, Edoardo; Bernardi, Alessandra; Catalisano, Maria Virginia; Chiantini, Luca. - In: LINEAR ALGEBRA AND ITS APPLICATIONS. - ISSN 0024-3795. - STAMPA. - 438:1(2013), pp. 121-135. [10.1090/S0002-9939-2012-11191-8]

Grassmann secants, identifiability, and linear systems of tensors

Ballico, Edoardo;Bernardi, Alessandra;
2013-01-01

Abstract

For any irreducible non-degenerate variety X ⊂ P r , 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 (P k × 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.
2013
1
Ballico, Edoardo; Bernardi, Alessandra; Catalisano, Maria Virginia; Chiantini, Luca
Grassmann secants, identifiability, and linear systems of tensors / Ballico, Edoardo; Bernardi, Alessandra; Catalisano, Maria Virginia; Chiantini, Luca. - In: LINEAR ALGEBRA AND ITS APPLICATIONS. - ISSN 0024-3795. - STAMPA. - 438:1(2013), pp. 121-135. [10.1090/S0002-9939-2012-11191-8]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/96296
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