A Note on the Rational Cuspidal Curves

Piotr Nayar; Barbara Pilat

Bulletin of the Polish Academy of Sciences. Mathematics (2014)

  • Volume: 62, Issue: 2, page 117-123
  • ISSN: 0239-7269

Abstract

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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.

How to cite

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Piotr Nayar, and Barbara Pilat. "A Note on the Rational Cuspidal Curves." Bulletin of the Polish Academy of Sciences. Mathematics 62.2 (2014): 117-123. <http://eudml.org/doc/286106>.

@article{PiotrNayar2014,
abstract = {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.},
author = {Piotr Nayar, Barbara Pilat},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {rational cuspidal curve; Alexander polynomial; infimum convolution},
language = {eng},
number = {2},
pages = {117-123},
title = {A Note on the Rational Cuspidal Curves},
url = {http://eudml.org/doc/286106},
volume = {62},
year = {2014},
}

TY - JOUR
AU - Piotr Nayar
AU - Barbara Pilat
TI - A Note on the Rational Cuspidal Curves
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2014
VL - 62
IS - 2
SP - 117
EP - 123
AB - 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.
LA - eng
KW - rational cuspidal curve; Alexander polynomial; infimum convolution
UR - http://eudml.org/doc/286106
ER -

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