2010/06/30 by Oskar Kędzierski, Oskar Kedzierski, Kedzierski, Oskar
Mathematics · #14E16 (Primary) 16G20 #14L24 (Secondary) #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #math.AG #math.RT #msc:14E16 #msc:14L24 #msc:16G20
paper · pdf · doi:10.48550/arxiv.1006.5833
22 pages, 2 figures, concrete examples can be found on the author's website
openalex publication_date 2010/06/30 · arxiv created 2013/04/19 · arxiv updated 2013/04/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We construct a family of McKay quiver representations on the Danilov resolution of the 1/r(1,a,r - a) singularity. It follows that the resolution is the normalization of the coherent component of the moduli space of stable McKay quiver representations for a suitable stability condition. We describe explicitly the corresponding chamber of stability conditions for any coprime numbers r, a.