English

On singularities of quiver moduli

Representation Theory 2009-11-18 v2 Algebraic Geometry

Abstract

Any moduli space of representations of a quiver (possibly with oriented cycles) has an embedding as a dense open subvariety into a moduli space of representations of a bipartite quiver having the same type of singularities. A connected quiver is Dynkin or extended Dynkin if and only if all moduli spaces of its representations are smooth.

Keywords

Cite

@article{arxiv.0903.4139,
  title  = {On singularities of quiver moduli},
  author = {M. Domokos},
  journal= {arXiv preprint arXiv:0903.4139},
  year   = {2009}
}

Comments

a known side result removed, a reference added, minor changes in exposition

R2 v1 2026-06-21T12:43:55.415Z