The versal deformation of cyclic quotient singularities

Preprint

8 June 2009

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.0906.1430

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

CYCLIC QUOTIENT SINGULARITIES
DIFFERENT COMBINATORIAL
QUOTIENT SINGULARITIES
DEFORMATION OF CYCLIC
VERSAL DEFORMATION
SINGULARITIES

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Version 1, 2009-06-08, ArXiv

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