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 
@article{10_4064_cm97_1_8,
     author = {Grzegorz Zwara},
     title = {An orbit closure for a representation of the
 {Kronecker} quiver with bad singularities},
     journal = {Colloquium Mathematicum},
     pages = {81--86},
     publisher = {mathdoc},
     volume = {97},
     number = {1},
     year = {2003},
     doi = {10.4064/cm97-1-8},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm97-1-8/}
}
TY  - JOUR
AU  - Grzegorz Zwara
TI  - An orbit closure for a representation of the
 Kronecker quiver with bad singularities
JO  - Colloquium Mathematicum
PY  - 2003
SP  - 81
EP  - 86
VL  - 97
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm97-1-8/
DO  - 10.4064/cm97-1-8
LA  - en
ID  - 10_4064_cm97_1_8
ER  - 
%0 Journal Article
%A Grzegorz Zwara
%T An orbit closure for a representation of the
 Kronecker quiver with bad singularities
%J Colloquium Mathematicum
%D 2003
%P 81-86
%V 97
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/cm97-1-8/
%R 10.4064/cm97-1-8
%G en
%F 10_4064_cm97_1_8
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

Cité par Sources :