Nearly Gorenstein cyclic quotient singularities

2020/06/05 by Caminata, Alessio, Strazzanti, Francesco
#13A50 #13H10 #14L30 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.2006.03457

Abstract

We investigate the nearly Gorenstein property among d-dimensional cyclic quotient singularities \Bbbk[[x₁,…,x_d]]^G, where \Bbbk is an algebraically closed field and G⊆\rm GL(d,\Bbbk) is a finite small cyclic group whose order is invertible in \Bbbk. 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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