Gorenstein Isolated Quotient Singularities of Odd Prime Dimension are Cyclic

• Published in: Communications in algebra Vol. 40; no. 8; pp. 3010 - 3020
• Main Authors: Kurano, Kazuhiko, Nishi, Shougo
• Format: Journal Article
• Language: English
• Published: Taylor & Francis Group 01.08.2012
• Subjects: Cyclic quotient singularity; Gorenstein; Isolated singularity; Primary 13A50; Secondary 14L30

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.