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

WU Yue, XU Bin

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

Chinese Quarterly Journal of Mathematics >

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

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

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

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.

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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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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WU Yue, XU Bin . Singularities of the Moduli Space of n Unordered Points on the Riemann Sphere[J]. Chinese Quarterly Journal of Mathematics, 2020 , 35(2) : 145 -162 . DOI: 10.13371/j.cnki.chin.q.j.m.2020.02.002

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