Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nearly Gorenstein cyclic quotient singularities   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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The categories of this paper are: supr-con
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The categories of this paper are: math-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-th
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: nlin
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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: q-alg