Simple zero property of some holomorphic functions on the moduli space of tori

被引：0
|
作者：
Zhijie Chen [1 ]
Ting-Jung Kuo [2 ]
Chang-Shou Lin [3 ]
机构：
[1] Department of Mathematical Sciences and Yau Mathematical Sciences Center,Tsinghua University
[2] Department of Mathematics, Taiwan Normal University
[3] Taida Institute for Mathematical Sciences (TIMS ), Center for Advanced Study in Theoretical Sciences (CASTS ), Taiwan University
来源：
Science China(Mathematics) | 2019年 / 62卷 / 11期
基金：
中国国家自然科学基金;
关键词：
simple zero property; Painlevé; Ⅵ; equation; Green function;
D O I：
暂无
中图分类号：
O174.52 [整数函数论、亚纯函数论（半纯函数论）];
学科分类号：
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.
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页码：2089 / 2102
页数：14
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