Noncommutative cyclic isolated singularities

2019/02/13 by Chan, Kenneth, Young, Alexander, Zhang, James
#16W22 #FOS: Mathematics #Quantum Algebra (math.QA) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1902.04847

Abstract

The question of whether a noncommutative graded quotient singularity A^G is isolated depends on a subtle invariant of the G-action on A, called the pertinency. We prove a partial dichotomy theorem for isolatedness, which applies to a family of noncommutative quotient singularities arising from a graded cyclic action on the (-1)-skew polynomial ring. Our results generalize and extend some results of Bao, He and the third-named author and results of Gaddis, Kirkman, Moore and Won.

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