Classification of low-dimensional orbit closures in varieties of quiver representations

Paweł Rochman

Colloquium Mathematicae (2008)

  • Volume: 113, Issue: 1, page 55-90
  • ISSN: 0010-1354

Abstract

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We classify the affine varieties of dimension at most 4 which occur as orbit closures with an invariant point in varieties of representations of quivers. Moreover, we show that they are normal and Cohen-Macaulay.

How to cite

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Paweł Rochman. "Classification of low-dimensional orbit closures in varieties of quiver representations." Colloquium Mathematicae 113.1 (2008): 55-90. <http://eudml.org/doc/284316>.

@article{PawełRochman2008,
abstract = {We classify the affine varieties of dimension at most 4 which occur as orbit closures with an invariant point in varieties of representations of quivers. Moreover, we show that they are normal and Cohen-Macaulay.},
author = {Paweł Rochman},
journal = {Colloquium Mathematicae},
keywords = {Representations of quivers; orbit closures},
language = {eng},
number = {1},
pages = {55-90},
title = {Classification of low-dimensional orbit closures in varieties of quiver representations},
url = {http://eudml.org/doc/284316},
volume = {113},
year = {2008},
}

TY - JOUR
AU - Paweł Rochman
TI - Classification of low-dimensional orbit closures in varieties of quiver representations
JO - Colloquium Mathematicae
PY - 2008
VL - 113
IS - 1
SP - 55
EP - 90
AB - We classify the affine varieties of dimension at most 4 which occur as orbit closures with an invariant point in varieties of representations of quivers. Moreover, we show that they are normal and Cohen-Macaulay.
LA - eng
KW - Representations of quivers; orbit closures
UR - http://eudml.org/doc/284316
ER -

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