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

• Autores: Grzegorz Zwara
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 74, Nº 3, 2006, págs. 623-638
• Idioma: inglés
• DOI: 10.1112/s0024610706023271
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• Resumen

  • 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.