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Moscow Mathematical Journal, 2018, Volume 18, Number 4, Pages 659–666
DOI: https://doi.org/10.17323/1609-4514-2018-18-4-659-666 (Mi mmj689) 		 
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
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DOI: https://doi.org/10.17323/1609-4514-2018-18-4-659-666
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.
Bibliographic databases:
Document Type: Article
MSC: Primary 14H45; Secondary 14B05, 14H50, 13D02,32S35
Language: English
Citation: Alexandru Dimca, Gabriel Sticlaru, “On the freeness of rational cuspidal plane curves”, Mosc. Math. J., 18:4 (2018), 659–666
Citation in format AMSBIB
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\paper On the freeness of rational cuspidal plane~curves
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