Weakly--exceptional quotient singularities

Published 30 Jun 2010 in math.AG and math.GR | (1006.5909v2)

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 $4$.

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Dmitrijs Sakovics

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