Let Î± be a Schur root; let h = hcfv(Î±(v)) and let p = 1 âˆ’ Î±/h, Î±/h. Then a moduli space of representations of dimension vector Î± 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.
|Translated title of the contribution||Birational classification of moduli spaces of representations of quivers|
|Pages (from-to)||407 - 432|
|Number of pages||26|
|Publication status||Published - Sep 2001|