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arXiv 0811.3870math.DG
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关于Nakajima度量的QALE几何

On the QALE geometry of Nakajima's metric

Gilles Carron

摘要:

证明了在$\C^2$上$n$点的Hilbert概型上,H. Nakajima via hyperkähler reduction是D. Joyce.

英文摘要:

We show that on Hilbert scheme of $n$ points on $\C^2$, the hyperkähler metric construsted by H. Nakajima via hyperkähler reduction is the Quasi-Asymptotically Locally Euclidean (QALE in short) metric constructed by D. Joyce.

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