Special McKay correspondence

Details Special McKay correspondence Special McKay correspondence

2001-11-30

arxiv.org/abs/math/0111314v1

Mathematics

Algebraic Geometry

Latex 2e, 15 pages, 4 figures. To appear in actes de l'\'ecole d'\'et\'e ``G\'eom\'etrie des vari\'et\'es toriques'' (Grenoble

Scientific paper

There are many generalizations of the McKay correspondence for higher dimensional Gorenstein quotient singularities and there are some applications to compute the topological invariants today. But some of the invariants are completely different from the classical invariants, in particular for non-Gorenstein cases. In this paper, we would like to discuss the McKay correspondence for 2-dimensional quotient singularities via "special" representations which gives the classical topological invariants and give a new characterization of the special representations for cyclic quotient singularities in terms of combinatorics.

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