2008/10/20 by Robert Waelder, Waelder, Robert
Mathematics · #14E15 #58J26 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology
paper · pdf · doi:10.48550/arxiv.0810.3634
openalex publication_date 2008/10/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.