Modules and quiver representations whose orbit closures are hypersurfaces

Nguyen Quang Loc; Grzegorz Zwara

Colloquium Mathematicae (2014)

  • Volume: 134, Issue: 1, page 57-74
  • ISSN: 0010-1354

Abstract

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Let A be a finitely generated associative algebra over an algebraically closed field. We characterize the finite-dimensional A-modules whose orbit closures are local hypersurfaces. The result is reduced to an analogous characterization for orbit closures of quiver representations obtained in Section 3.

How to cite

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Nguyen Quang Loc, and Grzegorz Zwara. "Modules and quiver representations whose orbit closures are hypersurfaces." Colloquium Mathematicae 134.1 (2014): 57-74. <http://eudml.org/doc/283640>.

@article{NguyenQuangLoc2014,
abstract = {Let A be a finitely generated associative algebra over an algebraically closed field. We characterize the finite-dimensional A-modules whose orbit closures are local hypersurfaces. The result is reduced to an analogous characterization for orbit closures of quiver representations obtained in Section 3.},
author = {Nguyen Quang Loc, Grzegorz Zwara},
journal = {Colloquium Mathematicae},
keywords = {module varieties; orbit closures; hypersurfaces; quiver representations; singularity},
language = {eng},
number = {1},
pages = {57-74},
title = {Modules and quiver representations whose orbit closures are hypersurfaces},
url = {http://eudml.org/doc/283640},
volume = {134},
year = {2014},
}

TY - JOUR
AU - Nguyen Quang Loc
AU - Grzegorz Zwara
TI - Modules and quiver representations whose orbit closures are hypersurfaces
JO - Colloquium Mathematicae
PY - 2014
VL - 134
IS - 1
SP - 57
EP - 74
AB - Let A be a finitely generated associative algebra over an algebraically closed field. We characterize the finite-dimensional A-modules whose orbit closures are local hypersurfaces. The result is reduced to an analogous characterization for orbit closures of quiver representations obtained in Section 3.
LA - eng
KW - module varieties; orbit closures; hypersurfaces; quiver representations; singularity
UR - http://eudml.org/doc/283640
ER -

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