English

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

Algebraic Geometry 2008-10-01 v1 Commutative Algebra

Abstract

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).

Keywords

Cite

@article{arxiv.0809.5115,
  title  = {Classification of Local Singularities on Torus Curves of Type (2,5)},
  author = {M. Kawashima},
  journal= {arXiv preprint arXiv:0809.5115},
  year   = {2008}
}