The versal deformation of cyclic quotient singularities

Details The versal deformation of cyclic quotient singularities The versal deformation of cyclic quotient singularities

2009-06-08

arxiv.org/abs/0906.1430v1

Mathematics

Algebraic Geometry

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

Scientific paper

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.

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