Luca Chiantini

On Generic Identifiability of 3-Tensors of Small Rank

We introduce an inductive method for the study of the uniqueness of decompositions of tensors, by means of tensors of rank

On the Concept of k-Secant Order of a Variety

1

AN ALGORITHM FOR GENERIC AND LOW-RANK SPECIFIC IDENTIFIABILITY OF COMPLEX TENSORS ∗

. The method is based on the geometric notion of weak defectivity. For three-dimensional tensors of type

On smooth subcanonical varieties of codimension 2 inP n ,n⩾4

(a,b,c)

Subcanonical curves and complete intersections in projective 3-space

,

Subvarieties of generic hypersurfaces in any variety

a\leq b\leq c

On generic identifiability of symmetric tensors of subgeneric rank

, our method proves that the decomposition is unique (i.e.,

On the identifiability of binary Segre products

k

On the dimension of secant varieties

-identifiability holds) for general tensors of rank

Focal loci of families and the genus of curves on surfaces

k