2013/01/11 by Maria Donten-Bury, Donten-Bury, Maria
Mathematics · #14E15 #14L30 #14M25 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14E15 #msc:14L30 #msc:14M25
paper · pdf · doi:10.48550/arxiv.1301.2633
37 pages, exposition improved
arxiv created 2013/08/14 · arxiv updated 2013/08/15
We investigate Cox rings of minimal resolutions of surface quotient singularities and provide two descriptions of these rings. The first one is the equation for the spectrum of a Cox ring, which is a hypersurface in an affine space. The second is the set of generators of the Cox ring viewed as a subring of the coordinate ring of a product of a torus and another surface quotient singularity. In addition, we obtain an explicit description of the minimal resolution as a divisor in a toric variety.