The geometry of flex tangents to a cubic curve and its parameterizations

Authors:
Jean-Marc Couveignes;Jean-Gabriel Kammerer
Affiliations:
Univ. Bordeaux, IMB, UMR 5251, F-33400 Talence, France and CNRS, IMB, UMR 5251, F-33400 Talence, France and INRIA, F-33400 Talence, France;DGA/MI, BP 7 35998 RENNES ARMEES, France and IRMAR, Université de Rennes 1, Campus de Beaulieu, F-35042 Rennes, France
Venue:
Journal of Symbolic Computation
Year:
2012

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Abstract

We show how the study of the geometry of the nine flex tangents to a cubic produces pseudo-parameterizations, including the ones given by Icart, Kammerer, Lercier, Renault and Farashahi, and infinitely many new ones.