On compact complex affine manifolds
Yusuke Sakane · Journal of the Mathematical Society of Japan · 1977
In this paper we study compact complex affine manifolds.Let $A(n, C)$ be the group of the affine transformations on $C^{n}$ and let $\Gamma$ be a subgroup of $A(n, C)$ such that 1) $\Gamma$ acts on $C^{n}$ properly discontinuously and freely 2) $ C^{n}/\Gamma$ is compact.A compact complex manifold $ C^{n}/\Gamma$ is called a compact complex