On moduli spaces of quiver representations associated with dimer models

2007/10/10 by Akira Ishii, Ishii, Akira, Kazushi Ueda +1 · 8 citations
Mathematics · #14D21 #16G20 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.0710.1898

openalex publication_date 2007/10/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• McKay correspondence

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