A Note on the Rational Cuspidal Curves

• Autorzy: Nayar P. , Pilat B.

Identyfikatory

DOI

10.4064/ba62-2-2

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

rational cuspidal curve; Alexander polynomial; infimum convolution

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2014
• Tom: Vol. 62, no 2
• Strony: 117--123
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Nayar P.

• Institute of Mathematics University of Warsaw Banacha 2 02-097 Warszawa, Poland
• 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.

autor

Pilat B.

• Faculty of Mathematics and Information Science Warsaw University of Technology Koszykowa 75 00-662 Warszawa, Poland

Bibliografia

• [BN] J. Bodnár and A. Némethi, Lattice cohomology and rational cuspidal curves, arXiv:1405.0437.
• [BL] M. Borodzik and C. Livingston, Heegaard Floer homology and rational cuspidal curves, arXiv:1304.1062.
• [FLMN] J. Fernández de Bobadilla, I. Luengo-Velasco, A. Melle-Hernández and A. Némethi, On rational cuspidal projective plane curves, Proc. London Math. Soc. (3) 92 (2006), 99–138.
• [M] K. Moe, Rational cuspidal curves, Master Thesis, Univ. of Oslo, https://www.duo.uio.no/handle/123456789/10759.
• [W] C. T. C. Wall, Singular Points of Plane Curves, London Math. Soc. Student Texts 63, Cambridge Univ. Press, Cambridge, 2004.