On Alexander Polynomials of Certain (2,5) Torus Curves
Abstract
In this paper, we compute Alexander polynomials of a torus curve C of type (2, 5), C : f(x, y) = f2(x, y)5 + f5(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.
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