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arXiv · 1610.05239

On the classification of ALE K\"ahler manifolds

Hans-Joachim Hein·Rares Rasdeaconu·Ioana Suvaina
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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.

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Hans-Joachim Hein, Rares Rasdeaconu, Ioana Suvaina. 2016-10-17. On the classification of ALE K\"ahler manifolds. https://arxiv.org/abs/1610.05239

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