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On the classification of ALE K\"ahler manifolds
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classification
math.DGmath.AG
keywords
ahlerclassificationcomplexconsequencedeformationdiffeomorphismexhibitedexist
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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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