论文摘要
We prove that some holomorphic functions on the moduli space of tori have only simple zeros.Instead of computing the derivative with respect to the moduli parameter τ, we introduce a conceptual proof by applying PainlevéⅥ equation. As an application of this simple zero property, we obtain the smoothness of the degeneracy curves of trivial critical points for some multiple Green function.
论文目录
文章来源
类型: 期刊论文
作者: Zhijie Chen,Ting-Jung Kuo,Chang-Shou Lin
来源: Science China(Mathematics) 2019年11期
年度: 2019
分类: 基础科学
专业: 数学
单位: Department of Mathematical Sciences and Yau Mathematical Sciences Center,Tsinghua University,Department of Mathematics, Taiwan Normal University,Taida Institute for Mathematical Sciences (TIMS ), Center for Advanced Study in Theoretical Sciences (CASTS ), Taiwan University
基金: supported by National Natural Science Foundation of China (Grant No. 11701312)
分类号: O174.52
页码: 2089-2102
总页数: 14
文件大小: 292K
下载量: 7
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