4 papers
Tangential weak defectiveness and generic identifiability
Alex Casarotti, Massimiliano Mella
We investigate the uniqueness of decomposition of general tensors as a sum of tensors of rank . This is done ex…
On secant dimensions and identifiability of Flag varieties
Ageu Barbosa Freire, Alex Casarotti, Alex Massarenti
We investigate the secant dimensions and the identifiablity of flag varieties parametrizing flag of sub vector spaces of a fixed vector space. We give numerical conditions ensuring…
From non Defectivity to Identifiability
Alex Casarotti, Massimiliano Mella
A projective variety is -identifiable if the generic element in its -secant variety uniquely determines points on . In this paper we propose an…
On Comon's and Strassen's conjectures
Alex Casarotti, Alex Massarenti, Massimiliano Mella
Comon's conjecture on the equality of the rank and the symmetric rank of a symmetric tensor, and Strassen's conjecture on the additivity of the rank of tensors are two of the most…