On the Number of Cusps of Rational Cuspidal Plane Curves
Piontkowski, Jens
Experiment. Math., Tome 16 (2007) no. 1, p. 251-256 / Harvested from Project Euclid
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A cuspidal curve is a curve whose singularities are all cusps, i.e., unibranched singularities. This article describes computations that lead to the following conjecture: A rational cuspidal plane curve of degree greater than or equal to six has at most three cusps. The curves with precisely three cusps occur in three series. Assuming the Flenner--Zaidenberg rigidity conjecture, the above conjecture is verified up to degree $20$
Publié le : 2007-05-15
Classification:  Plane curves,  rational curves,  singularities,  cusps,  14H20,  14H45,  14H50 
@article{1204905880,
     author = {Piontkowski, Jens},
     title = {On the Number of Cusps of Rational Cuspidal Plane Curves},
     journal = {Experiment. Math.},
     volume = {16},
     number = {1},
     year = {2007},
     pages = { 251-256},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1204905880}
}

Piontkowski, Jens. On the Number of Cusps of Rational Cuspidal Plane Curves. Experiment. Math., Tome 16 (2007) no. 1, pp.  251-256. http://gdmltest.u-ga.fr/item/1204905880/