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This article is cited in 5 scientific papers (total in 5 papers)
On the freeness of rational cuspidal plane curves
Alexandru Dimcaa, Gabriel Sticlarub a Université Côte d'Azur, CNRS, LJAD and INRIA, France
b Faculty of Mathematics and Informatics, Ovidius University, Bd. Mamaia 124, 900527 Constanta, Romania
Abstract:
We bring additional support to the conjecture saying that a rational cuspidal plane curve is either free or nearly free. This conjecture was confirmed for curves of even degree, and in this note we prove it for many odd degrees. In particular, we show that this conjecture holds for the curves of degree at most 34.
Key words and phrases:
rational cuspidal curves, Jacobian syzygy, Tjurina number, free curves, nearly free curves.
Citation:
Alexandru Dimca, Gabriel Sticlaru, “On the freeness of rational cuspidal plane curves”, Mosc. Math. J., 18:4 (2018), 659–666
Linking options:
https://www.mathnet.ru/eng/mmj689 https://www.mathnet.ru/eng/mmj/v18/i4/p659
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Abstract page: | 164 | References: | 25 |
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