Gorenstein isolated quotient singularities of odd prime dimension are cyclic

2009/03/19 by Kazuhiko Kurano, Kurano, Kazuhiko, Shougo Nishi +1
Mathematics · #13A50 #14L30 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.AG #msc:13A50 #msc:14L30

paper · pdf · doi:10.48550/arxiv.0903.3270

13 pages

arxiv created 2011/04/25 · arxiv updated 2011/04/26

Abstract

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 non-cyclic quotient singularities.

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