Resumen
In order to understand the triple action of PGLn+1 on the projective space of nonzero (n + 1) × (n + 1) matrices of linear forms on Pn, we associate a quadratic rational map φ{symbol} : Pn → Pn to any such matrix A. The properties of the dynamical system obtained by iteration of φ{symbol}, some of which are of a geometric nature, generate invariants and a canonical form for the orbit of A. We study a family of matrices parametrized by P1, whose associated geometry is given by the rational normal curve for each dimension n = 2, 3, 4. Our analysis involves the osculating flags to the curves; and we calculate the stabilizers of our rational maps and matrices.
Idioma original | Inglés |
---|---|
Páginas (desde-hasta) | 363-379 |
Número de páginas | 17 |
Publicación | Linear Algebra and Its Applications |
Volumen | 418 |
N.º | 2-3 |
DOI | |
Estado | Publicada - 15 oct. 2006 |