Real Hessian Curves
Algebraic Geometry
2016-08-16 v2
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.
Keywords
Cite
@article{arxiv.math/0504040,
title = {Real Hessian Curves},
author = {Adriana Ortiz-Rodríguez and Frank Sottile},
journal= {arXiv preprint arXiv:math/0504040},
year = {2016}
}
Comments
Related web page at http://www.math.tamu.edu/~sottile/stories/Hessian Exposition improved, new example found