English

On moduli spaces of quiver representations associated with dimer models

Algebraic Geometry 2008-09-18 v2

Abstract

We give a sufficient condition for the moduli space of quiver representations associated with a dimer model to be smooth for a general stability parameter. We also show that the moduli space in this case is a crepant resolution of the toric variety determined by the Newton polygon of the characteristic polynomial.

Keywords

Cite

@article{arxiv.0710.1898,
  title  = {On moduli spaces of quiver representations associated with dimer models},
  author = {Akira Ishii and Kazushi Ueda},
  journal= {arXiv preprint arXiv:0710.1898},
  year   = {2008}
}

Comments

12 pages, 3 figures; Incorporated suggestions by Alastair King and the referee. In particular, "not necessarily consistent brane tiling" becomes "dimer model". To appear in RIMS Kokyuroku Bessatsu

R2 v1 2026-06-21T09:29:25.388Z