Orbifolds and Finite Group Representations
نویسندگان
چکیده
We present our recent understanding on resolutions of Gorenstein orbifolds, which involves the finite group representation theory. We concern only the quotient singularity of hypersurface type. The abelian group Ar (n) for A-type hypersurface quotient singularity of dimension n is introduced. For n = 4, the structure of Hilbert scheme of group orbits and crepant resolutions of Ar (4)-singularity are obtained. The flop procedure of 4-folds is explicitly constructed through the process. 2000 Mathematics Subject Classification. 20Cxx, 14Jxx, 14Mxx.
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