On the classification of ALE Kähler manifolds
arXiv:1610.05239
Abstract
The underlying complex structure of an ALE Kähler 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 Kähler surfaces with a given group at infinity.
17 pages, to appear in IMRN. Comments are welcome!