Real Hessian Curves

Adriana Ortiz-Rodríguez; Frank Sottile

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Real Hessian Curves

Adriana Ortiz-Rodríguez·Frank Sottile

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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.

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BibTeX RIS

Adriana Ortiz-Rodríguez, Frank Sottile. 2006-05-18. Real Hessian Curves. https://arxiv.org/abs/math/0504040

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