Weakly--exceptional quotient singularities

Details Weakly--exceptional quotient singularities Weakly--exceptional quotient singularities

2010-06-30

arxiv.org/abs/1006.5909v1

Mathematics

Algebraic Geometry

28 pages

Scientific paper

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 $4$.

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