%0 Journal Article %T On the QALE geometry of Nakajima's metric %A Gilles Carron %J Mathematics %D 2008 %I arXiv %X 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. %U http://arxiv.org/abs/0811.3870v1