On the dimensions of secant varieties of Segre-Veronese varieties, Annali di Matematica Pura ed Applicata, vol.56, issue.2, 2009. ,
DOI : 10.1007/s10231-011-0212-3
Induction for secant varieties of Segre varieties, Transactions of the American Mathematical Society, vol.361, issue.02, pp.767-792, 2009. ,
DOI : 10.1090/S0002-9947-08-04725-9
Identifiability of parameters in latent structure models with many observed variables, The Annals of Statistics, vol.37, issue.6A, pp.3099-3132, 2009. ,
DOI : 10.1214/09-AOS689
URL : https://hal.archives-ouvertes.fr/hal-00591202
On the identifiability of binary Segre products, Journal of Algebraic Geometry, vol.22, issue.1, 2011. ,
DOI : 10.1090/S1056-3911-2011-00592-4
An inductive procedure for the identifiability of segre products, Preparation ,
On Waring?s problem for several algebraic forms, Commentarii Mathematici Helvetici, vol.78, issue.3, pp.494-517, 2003. ,
DOI : 10.1007/s00014-003-0769-6
Secant varieties of ${\mathbb {P}^1}\times \cdots \times {\mathbb {P}^1}$ ($n$-times) are NOT defective for $n \geq 5$, Journal of Algebraic Geometry, vol.20, issue.2, pp.295-327, 2011. ,
DOI : 10.1090/S1056-3911-10-00537-0
The Grassmannians of secant varieties of curves are not defective, Indagationes Mathematicae, vol.13, issue.1, pp.23-28, 2002. ,
DOI : 10.1016/S0019-3577(02)90003-0
Classification of (1, 2)-Grassmann secant defective threefolds, Forum Mathematicum, vol.23, issue.1, pp.207-222, 2011. ,
DOI : 10.1515/form.2011.012
On Generic Identifiability of 3-Tensors of Small Rank, SIAM Journal on Matrix Analysis and Applications, vol.33, issue.3, 1103. ,
DOI : 10.1137/110829180
On Grassmann secant extremal varieties, Advances in Geometry, vol.8, issue.3, pp.377-386, 2008. ,
DOI : 10.1515/ADVGEOM.2008.025
Tensor decompositions: state of the art and applications, Mathematics in signal processing, pp.1-24, 2000. ,
URL : https://hal.archives-ouvertes.fr/hal-00347139
Grassman defectivityàdefectivity`defectivityà la Terracini, Matematiche (Catania), vol.56, issue.2, pp.245-255, 2001. ,
A Link between the Canonical Decomposition in Multilinear Algebra and Simultaneous Matrix Diagonalization, SIAM Journal on Matrix Analysis and Applications, vol.28, issue.3, pp.642-666, 2006. ,
DOI : 10.1137/040608830
Phylogenetic algebraic geometry, Projective varieties with unexpected properties, pp.237-255 ,
Tensor decompositions and applications, SIAM Rev, vol.51, issue.3, pp.455-500, 2009. ,
Three-way arrays: rank and uniqueness of trilinear decompositions, with application to arithmetic complexity and statistics, Linear Algebra and its Applications, vol.18, issue.2, pp.95-138, 1977. ,
DOI : 10.1016/0024-3795(77)90069-6
Typical tensorial rank, Linear Algebra and its Applications, vol.69, pp.95-120, 1985. ,
DOI : 10.1016/0024-3795(85)90070-9
Base loci of linear systems and the Waring problem, Proceedings of the American Mathematical Society, vol.137, issue.01, pp.91-98, 2009. ,
DOI : 10.1090/S0002-9939-08-09545-2
Sulla rappresentazione delle coppie di forme ternarie mediante somme di potenze di forme lineari, Annali di Matematica Pura ed Applicata, vol.24, issue.1, pp.91-100, 1915. ,
DOI : 10.1007/BF02419670
Italy E-mail address: ballico@science.unitn.it (A, E-mail address: alessandra.bernardi@iria.fr (M.V.Catalisano) DIPTEM -Dipartimento di Ingegneria della Produzione, Termoenergetica e Modelli Matematici, p.38123 ,
E-mail address: catalisano@diptem.unige.it (L. Chiantini) Università degli Studi di Siena, Dipartimento di Scienze Matematiche e Informatiche, p.53100 ,