Blowdowns and McKay correspondence on four dimensional quasitoric orbifolds

Details Blowdowns and McKay correspondence on four dimensional quasitoric orbifolds Blowdowns and McKay correspondence on four dimensional quasitoric orbifolds

2009-11-04

arxiv.org/abs/0911.0766v3

Mathematics

Differential Geometry

Minor changes. New characterization of pseudo-holomorphicity of blowdowns(corollary 4.3) added. To appear in Osaka J. Math

Scientific paper

We prove the existence of torus invariant almost complex structure on any
positively omnioriented four dimensional primitive quasitoric orbifold. We
construct pseudo-holomorphic blowdown maps for such orbifolds. We prove a
version of McKay correspondence when the blowdowns are crepant.

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