Birational classification of moduli spaces of representations of quivers
Algebraic Geometry
2007-05-23 v1
Abstract
Let \alpha be a Schur root; let h=hcf_v(\alpha(v)) and let p = 1 - < \alpha/h,\alpha/h >. Then a moduli space of representations of dimension vector \alpha is birational to p h by h matrices up to simultaneous conjugacy. Therefore, if h=1,2,3 or 4, then such a moduli space is a rational variety and if h divides 420 it is a stably rational variety.
Keywords
Cite
@article{arxiv.math/9911014,
title = {Birational classification of moduli spaces of representations of quivers},
author = {Aidan Schofield},
journal= {arXiv preprint arXiv:math/9911014},
year = {2007}
}