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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.
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Rocznik
Tom
Strony
117--123
Opis fizyczny
Bibliogr. 5 poz.
Twórcy
autor
- 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
- 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.
Typ dokumentu
Bibliografia
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