Crepant resolution of trihedral singularities

Details Crepant resolution of trihedral singularities Crepant resolution of trihedral singularities

1994-04-15

arxiv.org/abs/alg-geom/9404008v1

Mathematics

Algebraic Geometry

10 pages, Ams-Tex version 2.1, UTMS/94-18 (Dept. of Mathematical Science, Univ. of Tokyo)

Scientific paper

The purpose of this paper is to construct a crepant resolution of quotient singularities by trihedral groups ( finite subgroups of SL(3,C) of certain type ), and prove that each Euler number of the minimal model is equal to the number of conjugacy classes. Trihedral singularities are 3-dimensional version of D_n-singularities, and they are non-isolated and many of them are not complete intersections. The resolution is similar to one of D_n-singularities. There is a nice combination of the toric resolution and Calabi-Yau resolution.

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