Smoothings of cyclic quotient singularities from a topological point of view
Algebraic Geometry
2007-05-23 v1 Geometric Topology
Abstract
For a smoothing Y of a 2-dimensional cyclic quotient singularity X, we construct a simple handle decomposition of Y by using a particular birational map from Y to the projective plane. The manifold Y is built up from the product of an annulus with a disk by attaching 2-handles in a manner which can be described by means of a plumbing graph. In particular, Y is homotopy equivalent to a 2-dimensional CW-complex with 1-skeleton a single circle.
Keywords
Cite
@article{arxiv.math/9911070,
title = {Smoothings of cyclic quotient singularities from a topological point of view},
author = {Ludwig Balke},
journal= {arXiv preprint arXiv:math/9911070},
year = {2007}
}
Comments
11 pages, 13 figures