We study the set of minimal periods of holomorphic self-maps of one- and two-dimensional complex tori. In particular, we characterize when the set of minimal periods of such maps is finite. In fact, we have an algorithm for doing this characterization for holomorphic self-maps of an arbitrary dimensional complex torus. © 2012 Copyright Taylor and Francis Group, LLC.
- holomorphic maps on complex tori
- periodic points
- set of minimal periods