An orbit closure for a representation of the Kronecker quiver with bad singularities

Grzegorz Zwara

Colloquium Mathematicae (2003)

  • Volume: 97, Issue: 1, page 81-86
  • ISSN: 0010-1354

Abstract

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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.

How to cite

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Grzegorz Zwara. "An orbit closure for a representation of the Kronecker quiver with bad singularities." Colloquium Mathematicae 97.1 (2003): 81-86. <http://eudml.org/doc/284432>.

@article{GrzegorzZwara2003,
abstract = {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.},
author = {Grzegorz Zwara},
journal = {Colloquium Mathematicae},
keywords = {two planes crossing at a point; not Cohen-Macaulay},
language = {eng},
number = {1},
pages = {81-86},
title = {An orbit closure for a representation of the Kronecker quiver with bad singularities},
url = {http://eudml.org/doc/284432},
volume = {97},
year = {2003},
}

TY - JOUR
AU - Grzegorz Zwara
TI - An orbit closure for a representation of the Kronecker quiver with bad singularities
JO - Colloquium Mathematicae
PY - 2003
VL - 97
IS - 1
SP - 81
EP - 86
AB - 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.
LA - eng
KW - two planes crossing at a point; not Cohen-Macaulay
UR - http://eudml.org/doc/284432
ER -

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