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

Yin Chen; Rong Du; Yun Gao

doi:10.1080/00927872.2020.1791148

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

Yin Chen
, Rong Du^*
, Yun Gao

^*此作品的通讯作者

数学科学学院

Nantong University
Shanghai Jiao Tong University

科研成果: 期刊稿件 › 文章 › 同行评审

5 引用（Scopus）

摘要

We classify all n-dimensional reduced Cohen-Macaulay modular quotient varieties (Formula presented.) and study their singularities, where p is a prime number and (Formula presented.) 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.

源语言	英语
页（从-至）	5490-5500
页数	11
期刊	Communications in Algebra
DOI	https://doi.org/10.1080/00927872.2020.1791148
出版状态	已出版 - 2020

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10.1080/00927872.2020.1791148

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title = "Modular quotient varieties and singularities by the cyclic group of order 2p",

abstract = "We classify all n-dimensional reduced Cohen-Macaulay modular quotient varieties (Formula presented.) and study their singularities, where p is a prime number and (Formula presented.) 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.",

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author = "Yin Chen and Rong Du and Yun Gao",

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year = "2020",

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T1 - Modular quotient varieties and singularities by the cyclic group of order 2p

AU - Chen, Yin

AU - Du, Rong

AU - Gao, Yun

PY - 2020

Y1 - 2020

N2 - We classify all n-dimensional reduced Cohen-Macaulay modular quotient varieties (Formula presented.) and study their singularities, where p is a prime number and (Formula presented.) 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.

AB - We classify all n-dimensional reduced Cohen-Macaulay modular quotient varieties (Formula presented.) and study their singularities, where p is a prime number and (Formula presented.) 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.

KW - Cohen-Macaulay

KW - cyclic groups

KW - modular invariants

KW - quotient singularities

UR - https://www.scopus.com/pages/publications/85087904367

U2 - 10.1080/00927872.2020.1791148

DO - 10.1080/00927872.2020.1791148

M3 - 文章

AN - SCOPUS:85087904367

SN - 0092-7872

SP - 5490

EP - 5500

JO - Communications in Algebra

JF - Communications in Algebra

ER -

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

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