Estudi sobre les superfícies de Riemann compactes

Abstract

[en] The work presented is divided in three sections: the first is about covering spaces, placing the emphasize on the universal covering spaces, which are simply connected; the second describes several properties of Riemann’s surfaces, which are topological manifolds with an analytic structure; the last describes an approach to the study of compact Riemann’s surfaces by means of their universal covering space and, for the ones of genus 1, we classify the possible analytic structures on a topological torus.