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Title: Weakly exceptional quotient singularities
Author: Sakovics, Dmitrijs
ISNI:       0000 0004 2748 3866
Awarding Body: University of Edinburgh
Current Institution: University of Edinburgh
Date of Award: 2013
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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 Dn, E6, E7, E8. This thesis classifies the weakly exceptional quotient singularities in dimensions 3, 4 and 5, and proves that in any prime dimension, all but finitely many irreducible groups give rise to weakly exceptional singularities. It goes on to provide an algorithm that produces such a classification in any given prime dimension.
Supervisor: Cheltsov, Ivan; Ranicki, Andrew; Gasparim, Elizabeth Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: weakly-exceptional singularities