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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Complete classification up to Morita equivalence of d-representation-finite symmetric algebras of finite representation type over algebraically closed fields, via two main families over arbitrary fields.
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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.
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Classification of the d-representation-finite symmetric k-algebras of finite representation type
Complete classification up to Morita equivalence of d-representation-finite symmetric algebras of finite representation type over algebraically closed fields, via two main families over arbitrary fields.