Orbifold Hodge numbers of the wreath product orbifolds

Abstract

We prove that the wreath product orbifolds studied earlier by the first author provide a large class of higher dimensional examples of orbifolds whose orbifold Hodge numbers coincide with the ordinary ones of suitable resolutions of singularities. We also make explicit conjectures on elliptic genera for the wreath product orbifolds.

16 pages, references added, minor changes

References in corpus (5)

• Stringy Hodge numbers of varieties with Gorenstein canonical singularities
• La correspondance de McKay
• Vertex representations via finite groups and the McKay correspondence
• Hilbert schemes, wreath products, and the McKay correspondence
• Delocalized equivariant coholomogy of symmetric products

Cited by in corpus (10)

• Second quantized Frobenius algebras
• Generalized orbifold Euler characteristics for general orbifolds and wreath products
• Equivariant characteristic classes of external and symmetric products of varieties
• The Chow motive of semismall resolutions
• Orbifold Cohomology of A Wreath Product Orbifold
• Infinite Product Decomposition of Orbifold Mapping Spaces
• Functional equations for orbifold wreath products
• Higher order generalized Euler characteristics and generating series
• The Farahat-Higman ring of wreath products and Hilbert schemes
• Arithmetic McKay correspondence