Moduli spaces of semistable quiver representations admit adequate moduli spaces that are proper over the semisimple moduli space, with a natural determinantal line bundle descending to a semiample (and ample for acyclic quivers) line bundle with effective global generation bounds.
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Projectivity and effective global generation of determinantal line bundles on quiver moduli
Moduli spaces of semistable quiver representations admit adequate moduli spaces that are proper over the semisimple moduli space, with a natural determinantal line bundle descending to a semiample (and ample for acyclic quivers) line bundle with effective global generation bounds.