English

On the QALE geometry of Nakajima's metric

Differential Geometry 2014-06-13 v1

Abstract

We show that on Hilbert scheme of nn points on \C2\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.

Keywords

Cite

@article{arxiv.0811.3870,
  title  = {On the QALE geometry of Nakajima's metric},
  author = {Gilles Carron},
  journal= {arXiv preprint arXiv:0811.3870},
  year   = {2014}
}