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arXiv · 1301.2633

Cox rings of minimal resolutions of surface quotient singularities

Maria Donten-Bury
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Abstract

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.

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Maria Donten-Bury. 2013-01-11. Cox rings of minimal resolutions of surface quotient singularities. https://arxiv.org/abs/1301.2633

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