The set of all orthogonal complex structures on the flat $6$-tori

Gabriel Khan, Bo Yang, Fangyang Zheng

In \cite{BSV}, Borisov, Salamon and Viaclovsky constructed non-standard orthogonal complex structures on flat tori $T_{\mathbb{R}}^{2n}$ for any $n\ge 3$. We will call these exampl…