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

Zhijie Chen, Ting Jung Kuo, Chang Shou Lin

研究成果: 雜誌貢獻文章同行評審

1 引文 斯高帕斯(Scopus)

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 Painlevé VI 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.

原文英語
頁(從 - 到)2089-2102
頁數14
期刊Science China Mathematics
62
發行號11
DOIs
出版狀態已發佈 - 2019 十一月 1

ASJC Scopus subject areas

  • Mathematics(all)

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