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arXiv · 1411.0407

Five-Dimensional Weakly Exceptional Quotient Singularities

Dmitrijs Sakovics
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Abstract

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 $D_{n}$, $E_{6}$, $E_{7}$ and $E_{8}$. Since this idea was introduced, quotient singularities of this type have been classified in dimensions up to most $4$. This note extends that classification to dimension $5$.

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Dmitrijs Sakovics. 2014-11-03. Five-Dimensional Weakly Exceptional Quotient Singularities. https://doi.org/10.1017/s0013091513000989

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