In the present article we construct new families of freeandnearlyfree curvesstartingfromaplanecubiccurve C and addingsomeofitshyperosculating conics. WepresentresultsthatinvolvenodalcubiccurvesandtheFermatcubic.In addition, weprovidenewinsightintothegeometryofthe27hyperosculatingconics of theFermatcubiccurveusingwell-chosengroupactions.
CONSTRUCTION OF FREE CURVES BY ADDING OSCULATING CONICS TO A GIVEN CUBIC CURVE / Dimca, Alexandru; Ilardi, Giovanna; Malara, Grzegorz; Pokora, Piotr. - In: INTERNATIONAL MATHEMATICS RESEARCH NOTICES. - ISSN 1073-7928. - , Issue 1, 2025:(In corso di stampa), pp. 1-12. [10.1093/imrn/rnae273]
CONSTRUCTION OF FREE CURVES BY ADDING OSCULATING CONICS TO A GIVEN CUBIC CURVE
GIOVANNA ILARDI;
In corso di stampa
Abstract
In the present article we construct new families of freeandnearlyfree curvesstartingfromaplanecubiccurve C and addingsomeofitshyperosculating conics. WepresentresultsthatinvolvenodalcubiccurvesandtheFermatcubic.In addition, weprovidenewinsightintothegeometryofthe27hyperosculatingconics of theFermatcubiccurveusingwell-chosengroupactions.File in questo prodotto:
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