Resumen de Dynamical systems for rational normal curves

J. A. Vargas

• 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 PGL_n+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.