Zhijie Chen

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math.AP2025

Green functions, Hitchin's formula and curvature equations on tori II: Rectangular torus

Zhijie Chen, Erjuan Fu, Chang-Shou Lin

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

math.AP2025

Green functions, Hitchin's formula and curvature equations on tori

Zhijie Chen, Erjuan Fu, Chang-Shou Lin

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