On singularities of quiver moduli

Abstract

Any moduli space of representations of a quiver (possibly with oriented cycles) has an embedding as a dense open subvariety into a moduli space of representations of a bipartite quiver having the same type of singularities. A connected quiver is Dynkin or extended Dynkin if and only if all moduli spaces of its representations are smooth.

a known side result removed, a reference added, minor changes in exposition

References in corpus (1)

• Orbit semigroups and the representation type of quivers

Cited by in corpus (3)

• Moduli spaces of representations of special biserial algebras
• On the invariant theory for acyclic gentle algebras
• Geometric characterizations of the representation type of hereditary algebras and of canonical algebras