Geodesic
A Note on the Rational Cuspidal Curves
Piotr Nayar1 ; Barbara Pilat2
1Institute of Mathematics University of Warsaw Banacha 2 02-097 Warszawa, Poland and Institute for Mathematics and its Applications College of Science and Engineering University of Minnesota 207 Church Street SE 306 Lind Hall Minneapolis, MN 55455, U.S.A.
2Faculty of Mathematics and Information Science Warsaw University of Technology Koszykowa 75 00-662 Warszawa, Poland
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 62 (2014) no. 2, pp. 117-123
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In this short note we give an elementary combinatorial argument, showing that the conjecture of J. Fernández de Bobadilla, I. Luengo-Velasco, A. Melle-Hernández and A. Némethi [Proc. London Math. Soc. 92 (2006), 99–138, Conjecture 1] follows from Theorem 5.4 of Brodzik and Livingston [arXiv:1304.1062] in the case of rational cuspidal curves with two critical points.
DOI : 10.4064/ba62-2-2
Keywords: short note elementary combinatorial argument showing conjecture nbsp fern ndez bobadilla nbsp luengo velasco melle hern ndez methi proc london math soc conjecture nbsp follows theorem brodzik livingston arxiv rational cuspidal curves critical points

Piotr Nayar  1   ; Barbara Pilat  2

1 Institute of Mathematics University of Warsaw Banacha 2 02-097 Warszawa, Poland and Institute for Mathematics and its Applications College of Science and Engineering University of Minnesota 207 Church Street SE 306 Lind Hall Minneapolis, MN 55455, U.S.A.
2 Faculty of Mathematics and Information Science Warsaw University of Technology Koszykowa 75 00-662 Warszawa, Poland 
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Piotr Nayar; Barbara Pilat. A Note on the Rational Cuspidal Curves. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 62 (2014) no. 2, pp. 117-123. doi: 10.4064/ba62-2-2

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