Geometric analysis on rhombus torus: Green function with two singularities

Zhijie Chen, Erjuan Fu, Chang-Shou Lin +1

Let $G(z)$ be the Green function on the flat torus $E_{\tau }=\mathbb{C}/(\mathbb{Z}+\mathbb{Z}\tau )$ with the singularity at $0$. Lin and Wang (Ann. Math. 2010) proved that $G(z)$ has at m…