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Journal of the London Mathematical Society 2006 74(3):623-638; doi:10.1112/S0024610706023271
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© The London Mathematical Society

Singularities of Orbit Closures in Module Varieties and Cones Over Rational Normal Curves

Grzegorz Zwara

Faculty of Mathematics and Computer Science, Nicolaus Copernicus University Chopina 12/18, 87-100 Torun, Poland gzwara{at}mat.uni.torun.pl

Received 28 July 2005. Revision received 13 February 2006.

Let N be a point of an orbit closure FormulaM in a module variety such that its orbit ON has codimension 2 in FormulaM. We show that under some additional conditions the pointed variety (FormulaM, N) is smoothly equivalent to a cone over a rational normal curve.


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