Resumen de Schottky uniformizations of genus 3 and 4 reflecting

Rubén Antonio Hidalgo

• Schottky uniformizations are provided of every closed Riemann surface of genus admitting the symmetric group as group of conformal automorphisms. These Schottky uniformizations reflect the group and permit concrete representations of to be obtained in the respective symplectic group . Their corresponding fixed points, in the Siegel space, give principally polarized Abelian varieties of dimension . For and for some cases of they turn out to be holomorphically equivalent to the product of elliptic curves.