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; Galuppi, Francesco. - In: COLLECTANEA MATHEMATICA. - ISSN 0010-0757. - ELETTRONICO. - (2022), pp. "-"-"-". [10.1007/s13348-022-00363-8]
Generic identifiability of pairs of ternary forms
Beorchia, Valentina
;
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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