Real Hessian Curves Institutional Repository Document uri icon

abstract

  • We give some real polynomials in two variables of degrees 4, 5, and 6 whose hessian curves have more connected components than had been known previously. In particular, we give a quartic polynomial whose hessian curve has 4 compact connected components (ovals), a quintic whose hessian curve has 8 ovals, and a sextic whose hessian curve has 11 ovals.

author list (cited authors)

  • Ortiz-Rodrguez, A., & Sottile, F.

complete list of authors

  • Ortiz-Rodríguez, Adriana||Sottile, Frank

publication date

  • April 2005