Gorenstein Isolated Quotient Singularities of Odd Prime Dimension are Cyclic

In this article, we shall prove that Gorenstein isolated quotient singularities of odd prime dimension are cyclic. In the case where the dimension is bigger than 1 and is not an odd prime number, then there exist Gorenstein isolated noncyclic quotient singularities.

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Bibliographic Details
Published inCommunications in algebra Vol. 40; no. 8; pp. 3010 - 3020
Main Authors Kurano, Kazuhiko, Nishi, Shougo
Format Journal Article
LanguageEnglish
Published Taylor & Francis Group 01.08.2012
Subjects
Cyclic quotient singularity
Gorenstein
Isolated singularity
Primary 13A50
Secondary 14L30
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Summary:In this article, we shall prove that Gorenstein isolated quotient singularities of odd prime dimension are cyclic. In the case where the dimension is bigger than 1 and is not an odd prime number, then there exist Gorenstein isolated noncyclic quotient singularities.
ISSN:0092-7872
1532-4125
DOI:10.1080/00927872.2011.584338