Nearly Gorenstein cyclic quotient singularities
Keyword(s):
Abstract We investigate the nearly Gorenstein property among d-dimensional cyclic quotient singularities $$\Bbbk \llbracket x_1,\dots ,x_d\rrbracket ^G$$ k 〚 x 1 , ⋯ , x d 〛 G , where $$\Bbbk $$ k is an algebraically closed field and $$G\subseteq {\text {GL}}(d,\Bbbk )$$ G ⊆ GL ( d , k ) is a finite small cyclic group whose order is invertible in $$\Bbbk $$ k . We prove a necessary and sufficient condition to be nearly Gorenstein that also allows us to find several new classes of such rings.
2018 ◽
Vol 11
(3)
◽
pp. 682-701
1964 ◽
Vol 16
◽
pp. 310-314
◽
2016 ◽
Vol 31
◽
pp. 263-285
◽
2017 ◽
Vol E100.A
(12)
◽
pp. 2764-2775
◽