Construction of free curves by adding osculating conics to a given cubic curve
| Autor: | Dimca, Alexandru, Ilardi, Giovanna, Malara, Grzegorz, Pokora, Piotr |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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 |
| Databáze: | arXiv |
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