Mathematics – Algebraic Geometry
Scientific paper
1999-11-02
Mathematics
Algebraic Geometry
Scientific paper
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.
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