Hilbert desingularizations for three dimensional canonical cyclic quotient singularities

Abstract

In this paper, we shall discuss Hilbert property of Hilb G (C 3 ), Fujiki-Oka resolutions and iterated Fujiki-Oka resolutions for three dimensional canonical cyclic quotient singularities by using the classification shown by Ishida and Iwashita[11]. Finally, we shall prove that there exists a Hilbert desingularization for any three dimensional canonical cyclic quotient singularity.