Codimension two singularities for representations of extended Dynkin quivers

Details Codimension two singularities for representations of extended Dynkin quivers Codimension two singularities for representations of extended Dynkin quivers

2006-03-29

arxiv.org/abs/math/0603683v1

Mathematics

Algebraic Geometry

16 pages

Scientific paper

Let M and N be two representations of an extended Dynkin quiver such that the
orbit O_N of N is contained in the orbit closure \bar{O_M} and has codimension
two. We show that the pointed variety $(\bar{O_M},N)$ is smoothly equivalent to
a simple surface singularity of type A_n, or to the cone over a rational normal
curve.

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