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Five-Dimensional Weakly Exceptional Quotient Singularities

Published online by Cambridge University Press:  23 December 2013

Dmitrijs Sakovics
Dmitrijs Sakovics*
Affiliation:
School of Mathematics, James Clerk Maxwell Building, University of Edinburgh, King's Buildings, Edinburgh EH9 3JZ, UK ([email protected])
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Abstract

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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.

Keywords

singularitiesquotient singularitiesweakly exceptionalPrimary 14B05Secondary 14E07
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 57 , Issue 1 , February 2014 , pp. 269 - 279
Copyright
Copyright © Edinburgh Mathematical Society 2014 

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