Generic identifiability of pairs of ternary forms

• Beorchia, Valentina ^[1] ; Galuppi, Francesco ^[2]
  1. [1] University of Trieste

     University of Trieste

     Trieste, Italia

     
  2. [2] Institute of Mathematics

     Institute of Mathematics

     Warszawa, Polonia

     
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 74, Fasc. 3, 2023, págs. 529-545
• Idioma: inglés
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• Resumen

  • We prove that two general ternary forms of degrees c≤d are simultaneously identifiable only in the classical cases (c,d)=(2,2) and (c,d)=(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.