We prove that two general ternary forms of degrees ≤ are simultaneously identifiable only in the classical cases (,)=(2,2) and (,)=(2,3). 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.
Generic identifiability of pairs of ternary forms
Beorchia, Valentina
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2022-01-01
Abstract
We prove that two general ternary forms of degrees ≤ are simultaneously identifiable only in the classical cases (,)=(2,2) and (,)=(2,3). 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.File in questo prodotto:
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