Generic identifiability of pairs of ternary forms
Algebraic Geometry
2022-06-08 v2
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.
Keywords
Cite
@article{arxiv.2106.13698,
title = {Generic identifiability of pairs of ternary forms},
author = {Valentina Beorchia and Francesco Galuppi},
journal= {arXiv preprint arXiv:2106.13698},
year = {2022}
}