Motivic integration, quotient singularities and the McKay correspondence

Abstract

The present work is devoted to the study of motivic integration on quotient singularities. We give a new proof of a form of the McKay correspondence previously proved by Batyrev. The paper contains also some general results on motivic integration on arbitrary singular spaces.

21 pages

References in corpus (2)

• Motivic Igusa zeta functions
• Stringy Hodge numbers of varieties with Gorenstein canonical singularities

Cited by in corpus (10)

• Twisted jets, motivic measure and orbifold cohomology
• An introduction to motivic integration
• Arcs on Determinantal Varieties
• The wild McKay correspondence and $p$-adic measures
• Toward motivic integration over wild Deligne-Mumford stacks
• Modular quotient varieties and singularities by the cyclic group of order $2p$
• Dimensions of jet schemes of log singularities
• Motivic integration and the birational invariance of BCOV invariants
• Notes on the motivic McKay correspondence for the group scheme ${\alpha }_p$
• Open problems in the wild McKay correspondence and related fields