Dynamical systems for rational normal curves

• Autores: J. A. Vargas
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 59, Fasc. 3, 2008, págs. 325-346
• Idioma: inglés
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• Resumen

  • We construct dynamical systems in Pn , using (n + 1) × (n + 1) matrices of linear forms in n + 1 variables, such that the fixed point sets are rational normal curves minus one point. Our matrices provide canonical forms for the triple action of PGLn+1 on the projective space of such matrices. Our dynamical systems include parameters identified with points in Pn-1 . We find conditions on these parameters to guarantee that any point in a dense open subset of Pn converges to a fixed point. We determine the domain of attraction of every fixed point.