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arXiv · 1812.10904

Modular quotient varieties and singularities by the cyclic group of order $2p$

Yin Chen·Rong Du·Yun Gao
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Abstract

We classify all $n$-dimensional reduced Cohen-Macaulay modular quotient variety $\mathbb{A}_\mathbb{F}^n/C_{2p}$ and study their singularities, where $p$ is a prime number and $C_{2p}$ denotes the cyclic group of order $2p$. In particular, we present an example that demonstrates that the problem proposed by Yasuda \cite[Problem 6.6]{Yas2015} has a negative answer if the condition that "$G$ is a small subgroup" was dropped.

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Yin Chen, Rong Du, Yun Gao. 2018-12-28. Modular quotient varieties and singularities by the cyclic group of order $2p$. https://doi.org/10.1080/00927872.2020.1791148

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