Singular McKay correspondence for normal surfaces

Details Singular McKay correspondence for normal surfaces Singular McKay correspondence for normal surfaces

2008-10-20

arxiv.org/abs/0810.3634v1

Mathematics

Algebraic Geometry

22 pages

Scientific paper

We define the singular orbifold elliptic genus and $E$-function for all normal surfaces without strictly log-canonical singularities, and prove the analogue of the McKay correspondence in this setting. Our invariants generalize the stringy invariants defined by Willem Veys for this class of singularities. We show that the ability to define these invariants is closely linked to rigidity phenomena associated to the elliptic genus.

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