On Alexander Polynomials of Certain (2,5) Torus Curves
Algebraic Geometry
2008-10-09 v1
Abstract
In this paper, we compute Alexander polynomials of a torus curve C of type (2, 5), C : f(x, y) = f_2(x, y)^5 + f_5(x, y)^2 = 0, under the assumption that the origin O is the unique inner singularity and f2 = 0 is an irreducible conic. We show that the Alexander polynomial remains the same with that of a generic torus curve as long as C is irreducible.
Keywords
Cite
@article{arxiv.0810.1382,
title = {On Alexander Polynomials of Certain (2,5) Torus Curves},
author = {M. Kawashima and M. Oka},
journal= {arXiv preprint arXiv:0810.1382},
year = {2008}
}