We investigate the uniqueness of decomposition of general tensors T∈ℂn1+1⊗⋯⊗ℂnr+1 as a sum of tensors of rank 1. This is done extending the theory developed in a previous paper by the second author to the framework of non twd varieties. In this way we are able to prove the non generic identifiability of infinitely many partially symmetric tensors.
Tangential Weak Defectiveness and Generic Identifiability
Casarotti, Alex
Primo
;Mella, MassimilianoUltimo
2022
Abstract
We investigate the uniqueness of decomposition of general tensors T∈ℂn1+1⊗⋯⊗ℂnr+1 as a sum of tensors of rank 1. This is done extending the theory developed in a previous paper by the second author to the framework of non twd varieties. In this way we are able to prove the non generic identifiability of infinitely many partially symmetric tensors.File in questo prodotto:
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