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ABELIAN AUTOMORPHISMS GROUPS OF SCHOTTKY TYPE

Author
HIDALGO,RUBÉN

Full text
https://scielo.conicyt.cl/scielo.php?script=sci_arttext&pid=S0716-09172004000300001
Abstract
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
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Artes, Arquitectura y UrbanismoCiencias Agrarias, Forestales y VeterinariasCiencias Exactas y NaturalesCiencias SocialesDerechoEconomía y AdministraciónFilosofía y HumanidadesIngenieríaMedicinaMultidisciplinarias
Institutions
Universidad de ChileUniversidad Católica de ChileUniversidad de Santiago de ChileUniversidad de ConcepciónUniversidad Austral de ChileUniversidad Católica de ValparaísoUniversidad del Bio BioUniversidad de ValparaísoUniversidad Católica del Nortemore

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