Abstract

In this talk we study the minimal periods of a holomorphic map which are preserved by any deformation separating the case of continuous and holomorphic homotopy. A complete description of the set of such minimal periods is given for holomorphic self-map of a compact Riemann surface. It shows that the answer depends on the geometry of the surface distinguishing the parabolic case of sphere, elliptic case of torus, and the hyperbolic case of a surface of genus grater than 1.

The talk is based in a joint work with Waclaw Marzantowicz.