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arXiv · 2006.03457

Nearly Gorenstein cyclic quotient singularities

Alessio Caminata·Francesco Strazzanti
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Abstract

We investigate the nearly Gorenstein property among $d$-dimensional cyclic quotient singularities $\Bbbk[[x_1,\dots,x_d]]^G$, where $\Bbbk$ is an algebraically closed field and $G\subseteq{\rm GL}(d,\Bbbk)$ 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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Alessio Caminata, Francesco Strazzanti. 2020-06-05. Nearly Gorenstein cyclic quotient singularities. https://arxiv.org/abs/2006.03457

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