Gorenstein Quotient Singularities of Monomial Type in Dimension Three

Details Gorenstein Quotient Singularities of Monomial Type in Dimension Three Gorenstein Quotient Singularities of Monomial Type in Dimension Three

1994-06-11

arxiv.org/abs/alg-geom/9406001v2

Mathematics

Algebraic Geometry

13 pages, Ams-Tex(Ver.2.1A)

Scientific paper

The purpose of this paper is to construct a crepant resolution of quotient singularities by finite subgroups of SL(3,C) of monomial type, and prove that the Euler number of the resolution is equal to the number of conjugacy classes. This result is a part of conjecture II in previous paper "Crepant resolution of trihedral singularities" (alg-geom 9404008). These singularities are different from trihedral, but main idea of the proof is based on the method of trihedral case.

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