Abstract: |
The McKay correspondece gives a relation between a finite subgroup G of SL(2,C) and the minimal resolution of the quotient singularity C^2/G. It was based on McKay's observation in 1979 and developed in algebraic geometry. Around 1985, in superstring theory, similar formula for 3 dimensional quotient singularities appeared and became mathematical conjecture by Hilzebruch and Hoefer, and several generalization of the McKay correspondence were studied. Now, we need to know existence of crepant resolutions and try non-abelian quotient cases! |