Flops and mutations for crepant resolutions of polyhedral singularities

Details Flops and mutations for crepant resolutions of polyhedral singularities Flops and mutations for crepant resolutions of polyhedral singularities

2011-08-11

arxiv.org/abs/1108.2352v1

Mathematics

Algebraic Geometry

Scientific paper

We prove that any crepant resolution of a polyhedral singularity C^3/G for G
a subgroup of SO(3) of types Z/nZ, D_{2n} and T is isomorphic to a moduli space
of representations of a quiver with relations. Moreover we classify all crepant
resolutions explicitly by giving an open cover and find a one-to-one
correspondence between them and mutations of the McKay quiver.

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