Abstract We classify all n-dimensional reduced Cohen-Macaulay modular quotient varieties and study their singularities, where p is a prime number and denotes the cyclic group of order 2p. In particular, we present an example that demonstrates that the problem proposed by Yasuda has a negative answer if the condition that “G is a small subgroup” was dropped.

中文翻译：

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2p阶循环群的模商变体和奇点

摘要 我们对所有 n 维约化 Cohen-Macaulay 模商变体进行分类并研究它们的奇点，其中 p 是素数并表示 2p 阶循环群。特别地，我们提出了一个例子，证明如果去掉“G 是一个小子群”的条件，Yasuda 提出的问题的答案是否定的。