Abstract
Let α be a Schur root; let h = hcfv(α(v)) and let p = 1 − α/h, α/h. Then a moduli space of representations of dimension vector α 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 |
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| Original language | English |
| Pages (from-to) | 407 - 432 |
| Number of pages | 26 |
| Journal | Indagationes Mathematicae |
| Volume | 12 (3) |
| DOIs | |
| Publication status | Published - Sept 2001 |