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arxiv: 0811.3870 · v1 · pith:6TSKLMOBnew · submitted 2008-11-24 · 🧮 math.DG

On the QALE geometry of Nakajima's metric

classification 🧮 math.DG
keywords metricahlerhyperknakajimaqaleconstructedconstrustedeuclidean
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We show that on Hilbert scheme of $n$ points on $\C^2$, the hyperk\"ahler metric construsted by H. Nakajima via hyperk\"ahler reduction is the Quasi-Asymptotically Locally Euclidean (QALE in short) metric constructed by D. Joyce.

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