Weakly--exceptional quotient singularities

Abstract

A singularity is said to be weakly--exceptional if it has a unique purely log terminal blow up. In dimension $2$, V. Shokurov proved that weakly--exceptional quotient singularities are exactly those of types $D_n$, $E_6$, $E_7$, $E_8$. This paper classifies the weakly--exceptional quotient singularities in dimensions $3$ and $4$.

Cited by in corpus (3)

• Super-rigid Affine Fano Varieties
• Five-Dimensional Weakly Exceptional Quotient Singularities
• Sporadic simple groups and quotient singularities