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.
@article{bwmeta1.element.doi-10_2478_s11533-012-0019-5,
author = {Dmitrijs Sakovics},
title = {Weakly-exceptional quotient singularities},
journal = {Open Mathematics},
volume = {10},
year = {2012},
pages = {885-902},
zbl = {1263.14007},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0019-5}
}
Dmitrijs Sakovics. Weakly-exceptional quotient singularities. Open Mathematics, Tome 10 (2012) pp. 885-902. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0019-5/
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