Artículos de revistas
ABELIAN AUTOMORPHISMS GROUPS OF SCHOTTKY TYPE
Autor
HIDALGO,RUBÉN
Institución
Resumen
We study the problem of lifting an Abelian group H of automorphisms of a closed Riemann surface S (containing anticonformals ones) to a suitable Schottky uniformization of S (that is, when H is of Schottky type). If H+ is the index two subgroup of orientation preserving automorphisms of H and R = S/H+, then H induces an anticonformal automorphism τ : R -> R. If τ has fixed points, then we observe that H is of Schottky type. If τ has no fixed points, then we provide a su.cient condition for H to be of Schottky type. We also give partial answers for the excluded cases