## Gorenstein quotient singularities of monomial type in dimension three

J. Math. Sci. Univ. Tokyo
Vol. 2 (1995), No. 2, Page 419--440.

Ito, Yukari
Gorenstein quotient singularities of monomial type in dimension three
In this paper we give an explicit description of the construction of 3-dimensional smooth varieties coming from a crepant resolution of the underlying spaces of quotient singularities $\Bbb C^3/G$, which are defined by certain monomial type finite subgroups $G$ of $SL(3,\Bbb C)$. Moreover, we prove that the topological Euler number of these varieties equals the number of conjugacy classes of the corresponding acting group. The latter constitutes the verification of a part of the physicist's conjecture concerning \lq\lq the orbifold Euler characteristics".