Generic identifiability of pairs of ternary forms

Abstract

We prove that two general ternary forms are simultaneously identifiable only in the classical cases of two quadratic and a cubic and a quadratic form. We translate the problem into the study of a certain linear system on a projective bundle on the plane, and we apply techniques from projective and birational geometry to prove that the associated map is not birational.

References in corpus (2)

• Tensor decomposition for learning Gaussian mixtures from moments
• Base loci of linear systems and the Waring problem