The underlying complex structure of ALE Kähler manifolds 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.

中文翻译：

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关于 ALE Kähler 歧管的分类

ALE Kähler 流形的潜在复杂结构表现为对孤立商奇点变形的解析。因此，最小 ALE Kähler 曲面的微分同胚类型仅存在有限多个。