Classification of Local Singularities on Torus Curves of Type (2,5)

Details Classification of Local Singularities on Torus Curves of Type (2,5) Classification of Local Singularities on Torus Curves of Type (2,5)

2008-09-30

arxiv.org/abs/0809.5115v1

Mathematics

Algebraic Geometry

Scientific paper

In this paper, we consider curves of degree 10 of torus type (2,5), C :
f_5(x, y)^2 + f_2(x, y)^5 = 0. Assume that f_2(0, 0) = f_5(0, 0) = 0. Then O =
(0, 0) is a singular point of C which is called an inner singularity. In this
paper, we give a topological classification of singularities of (C,O).

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