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SINGULARITIES OF ORBIT CLOSURES IN MODULE VARIETIES AND CONES OVER RATIONAL NORMAL CURVES

Published online by Cambridge University Press:  04 January 2007

GRZEGORZ ZWARA
GRZEGORZ ZWARA
Affiliation:
Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, 87-100 Toruń, [email protected]
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Abstract

Let $N$ be a point of an orbit closure $\overline{{\mathcal O}}_M$ in a module variety such that its orbit ${\mathcal O}_N$ has codimension 2 in $\overline{{\mathcal O}}_M$. We show that under some additional conditions the pointed variety $(\overline{{\mathcal O}}_M,N)$ is smoothly equivalent to a cone over a rational normal curve.

Keywords

14L30 (primary)14B0516G1016G20 (secondary)
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 74 , Issue 3 , December 2006 , pp. 623 - 638
Copyright
The London Mathematical Society 2006

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