On singularities of quiver moduli

Mathematics – Representation Theory

Scientific paper

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

Scientific paper

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.

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