%0 Journal Article
%T Suita Conjecture for a Complex Torus
%A Robert Xin Dong
%J Mathematics
%D 2014
%I arXiv
%R 10.3103/S0898511114030077
%X The author proves that the generalized Suita conjecture holds for any complex torus, which means that $ \alpha\pi K \geq c^2(\alpha\in\mathbb R)$, $c$ being the modified logarithmic capacity and $K$ being the Bergman kernel on the diagonal. The open problems for general compact Riemann surfaces with genus $\geq2$ is also elaborated. The proof relies in part on elliptic function theories.
%U http://arxiv.org/abs/1403.7447v1