Geodesic
An orbit closure for a representation of the Kronecker quiver with bad singularities
Grzegorz Zwara1
1 Faculty of Mathematics and Computer Science Nicolaus Copernicus University Chopina 12/18 87-100 Toruń, Poland
Colloquium Mathematicum, Tome 97 (2003) no. 1, pp. 81-86.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We give an example of a representation of the Kronecker quiver for which the closure of the corresponding orbit contains a singularity smoothly equivalent to the isolated singularity of two planes crossing at a point. Therefore this orbit closure is neither Cohen–Macaulay nor unibranch.
DOI : 10.4064/cm97-1-8
Keywords: example representation kronecker quiver which closure corresponding orbit contains singularity smoothly equivalent isolated singularity planes crossing point therefore orbit closure neither cohen macaulay nor unibranch

Grzegorz Zwara 1

1 Faculty of Mathematics and Computer Science Nicolaus Copernicus University Chopina 12/18 87-100 Toruń, Poland 
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Grzegorz Zwara. An orbit closure for a representation of the
 Kronecker quiver with bad singularities. Colloquium Mathematicum, Tome 97 (2003) no. 1, pp. 81-86. doi : 10.4064/cm97-1-8. http://geodesic.mathdoc.fr/articles/10.4064/cm97-1-8/

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