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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Canonical quotient singularities in dimension three

Author: David R. Morrison
Journal: Proc. Amer. Math. Soc. 93 (1985), 393-396
MSC: Primary 14B05
MathSciNet review: 773987
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Abstract: We classify isolated canonical cyclic quotient singularities in dimension three, showing that, with two exceptions, they are all either Gorenstein or terminal. The proof uses the solution of a combinatorial problem which arose in the study of algebraic cycles on Fermat varieties.

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Keywords: Canonical singularity, Fermat variety, Gorenstein ring, quotient singularity, terminal singularity
Article copyright: © Copyright 1985 American Mathematical Society

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