Singularities of orbit closures in module varieties and cones over rational normal curves

Details Singularities of orbit closures in module varieties and cones over rational normal curves Singularities of orbit closures in module varieties and cones over rational normal curves

2005-07-28

arxiv.org/abs/math/0507593v1

Mathematics

Algebraic Geometry

19 pages

Scientific paper

Let $N$ be a point of an orbit closure $\bar{O_M}$ in a module variety such
that its orbit $O_N$ has codimension two in $\bar{O_M}$. We show that under
some additional conditions the pointed variety $(\bar{O_M},N)$ is smoothly
equivalent to a cone over a rational normal curve.

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