We investigate the nearly Gorenstein property among d-dimensional cyclic quotient singularities k〚 x1, ⋯ , xd〛 G, where k is an algebraically closed field and G⊆ GL (d, k) is a finite small cyclic group whose order is invertible in k. We prove a necessary and sufficient condition to be nearly Gorenstein that also allows us to find several new classes of such rings.

Nearly Gorenstein cyclic quotient singularities

Caminata A.;Strazzanti F.
2021

Abstract

We investigate the nearly Gorenstein property among d-dimensional cyclic quotient singularities k〚 x1, ⋯ , xd〛 G, where k is an algebraically closed field and G⊆ GL (d, k) is a finite small cyclic group whose order is invertible in k. We prove a necessary and sufficient condition to be nearly Gorenstein that also allows us to find several new classes of such rings.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11567/1062904
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