Simple zero property of some holomorphic functions on the moduli space of tori
Journal
Science China Mathematics
Date Issued
2019
Author(s)
Abstract
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.
Type
journal article