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weakly exceptional

Proceedings of the Edinburgh Mathematical Society (1)

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Five-Dimensional Weakly Exceptional Quotient Singularities
Dmitrijs Sakovics
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 57 / Issue 1 / February 2014

Published online by Cambridge University Press:

23 December 2013, pp. 269-279
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A singularity is said to be weakly exceptional if it has a unique purely log terminal blow-up. This is a natural generalization of the surface singularities of types Dn, E6, E7 and E8. Since this idea was introduced, quotient singularities of this type have been classified in dimensions up to at most 4. This note extends that classification to dimension 5.