黎曼球上n点组的模空间奇点

吴悦, 许斌

doi:10.13371/j.cnki.chin.q.j.m.2020.02.002

数学季刊 >

2020 , Vol. 35 >Issue 2: 145 - 162

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2020.02.002

黎曼球上n点组的模空间奇点

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CAS Wu Wen-Tsun Key Laboratory of Mathematics and School of Mathematical Sciences,University of Science and Technology of China

WU Yue(1993-), female, native of Panjin, Liaoning, master student of University of Science and Technology of China, engages in algebraic geometry; XU Bin(1976-), male, native of Yiyang, Hunan, associate professor of University of Science and Technology of China, engages in complex geometry.

收稿日期: 2020-01-14

网络出版日期: 2020-09-03

基金资助

Supported by the National Natural Science Foundation of China (Grant Nos. 11571330 and11971450)； the Fundamental Research Funds for the Central Universities；

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Singularities of the Moduli Space of n Unordered Points on the Riemann Sphere

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CAS Wu Wen-Tsun Key Laboratory of Mathematics and School of Mathematical Sciences,University of Science and Technology of China

Received date: 2020-01-14

Online published: 2020-09-03

Supported by

Supported by the National Natural Science Foundation of China (Grant Nos. 11571330 and 11971450) and the Fundamental Research Funds for the Central Universities.

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摘要

We classify the finite groups associated to the orbifold singularities of the moduli space of n ≥ 5 unordered points on the Riemann sphere.

关键词： Stabilizer; Orbifold singularity; Unordered n point; Riemann sphere

本文引用格式

吴悦, 许斌 . 黎曼球上n点组的模空间奇点[J]. 数学季刊, 2020 , 35(2) : 145 -162 . DOI: 10.13371/j.cnki.chin.q.j.m.2020.02.002

Abstract

We classify the nite groups associated to the orbifold singularities of the moduli space of n5 unordered points on the Riemann sphere.

Key words： Stabilizer; Orbifold singularity; Unordered n point; Riemann sphere

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