On the Classification of ALE Kähler Manifolds

On the Classification of ALE Kähler Manifolds
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DOI:
10.1093/imrn/rnz376
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发表时间:
2020-01
影响因子:
1
通讯作者:
H. Hein;R. Răsdeaconu;I. Şuvaina
H. Hein;R. Răsdeaconu;I. Şuvaina
中科院分区:
数学1区
文献类型:
--
作者:
H. Hein;R. Răsdeaconu;I. Şuvaina

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AleKähler流形的基本复杂结构表现为孤立商奇点的变形的解。因此,极小AleKähler曲面只存在有限多个微分同胚型。
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.