Geodesic
COX RINGS OF MINIMAL RESOLUTIONS OF SURFACE QUOTIENT SINGULARITIES
Glasgow mathematical journal, Tome 58 (2016) no. 2, pp. 325-355

Voir la notice de l'article provenant de la source Cambridge University Press

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. 
DONTEN-BURY, MARIA. COX RINGS OF MINIMAL RESOLUTIONS OF SURFACE QUOTIENT SINGULARITIES. Glasgow mathematical journal, Tome 58 (2016) no. 2, pp. 325-355. doi: 10.1017/S0017089515000221
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