On the classification of ALE K\"ahler manifolds
Differential Geometry
2019-12-20 v3 Algebraic Geometry
Abstract
The underlying complex structure of an ALE K\"ahler manifold is exhibited as a resolution of a deformation of an isolated quotient singularity. As a consequence, there exist only finitely many diffeomorphism types of minimal ALE K\"ahler surfaces with a given group at infinity.
Keywords
Cite
@article{arxiv.1610.05239,
title = {On the classification of ALE K\"ahler manifolds},
author = {Hans-Joachim Hein and Rares Rasdeaconu and Ioana Suvaina},
journal= {arXiv preprint arXiv:1610.05239},
year = {2019}
}
Comments
17 pages, to appear in IMRN. Comments are welcome!