ar X iv : 1 60 3 . 00 07 1 v 1 [ m at h . A G ] 2 9 Fe b 20 16 COMPUTING RESOLUTIONS OF QUOTIENT SINGULARITIES

Abstract

Let G ⊆ GL(n) be a finite group without pseudo-reflections. We present an algorithm to compute and verify a candidate for the Cox ring of a resolution X → C n /G, which is based just on the geometry of the singularity C n /G, without further knowledge of its resolutions. As an application, we determine the Cox rings of resolutions X → C 3 /G for all G ⊆ GL… (More)

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