English

On the Irreducibility of Some Quiver Varieties

Algebraic Geometry 2021-10-12 v2 Representation Theory

Abstract

We prove that certain quiver varieties are irreducible and therefore are isomorphic to Hilbert schemes of points of the total spaces of the bundles OP1(n)\mathcal O_{\mathbb P^1}(-n) for n1n \ge 1.

Keywords

Cite

@article{arxiv.2003.05890,
  title  = {On the Irreducibility of Some Quiver Varieties},
  author = {Claudio Bartocci and Ugo Bruzzo and Valeriano Lanza and Claudio L. S. Rava},
  journal= {arXiv preprint arXiv:2003.05890},
  year   = {2021}
}