  A point $p\in\mathbb{P}^N$ of a projective space is $h$-identifiable, with
respect to a variety $X\subset\mathbb{P}^N$, if it can be written as linear
combination of $h$ elements of $X$ in a unique way. Identifiability is implied
by conditions on the contact locus in $X$ of general linear spaces called non
weak defectiveness and non tangential weak defectiveness. We give conditions
ensuring non tangential weak defectiveness of an irreducible and
non-degenerated projective variety $X\subset\mathbb{P}^N$, and we apply these
results to Segre-Veronese varieties.

Algebraic Geometry;Differential Geometry