학술논문
Construction of free curves by adding osculating conics to a given cubic curve
Document Type
Working Paper
Source
Subject
Language
Abstract
In the present note we construct new families of free and nearly free curves starting from a plane cubic curve $C$ and adding some of its hyperosculating conics. Using obvious group actions, we get new insight into the geometry of the $27$ hyperosculating conics of the Fermat cubic curve.
Comment: 11 pages, comments welcome
Comment: 11 pages, comments welcome