Curvas algebraicas reales y superficies de Klein

Abstract

The classical correspondence between Riemann surfaces and complex algebraic curves, extends by the work of Ailing and Greenleaf to Klein surfaces and real algebraic curves. The topological invariants of the surface determine the ones of a smonoth and bounded model of the associated curve, and conversely. Moreover, the fields of meromorphic functions of both coincide. So, the automorphisms group, the real part of the associated complex curve, and the coverings and moduli space of the curve, may be studied in terms of the automorphisms group, the symmetries, the coverings and the Teichmüller space of the associated surface.