English

The versal deformation of cyclic quotient singularities

Algebraic Geometry 2009-06-09 v1

Abstract

We describe the versal deformation of two-dimensional cyclic quotient singularities in terms of equations, following Arndt, Brohme and Hamm. For the reduced components the equations are determined by certain systems of dots in a triangle. The equations of the versal deformation itself are governed by a different combinatorial structure, involving rooted trees.

Keywords

Cite

@article{arxiv.0906.1430,
  title  = {The versal deformation of cyclic quotient singularities},
  author = {Jan Stevens},
  journal= {arXiv preprint arXiv:0906.1430},
  year   = {2009}
}

Comments

27 pages, for proceedings of conference Deformations of Surface Singularities, Budapest 2008