Título:
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Hyperelliptic Klein surfaces
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Autores:
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Bujalance, E. ;
Etayo Gordejuela, J. Javier ;
Gamboa, J. M.
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Tipo de documento:
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texto impreso
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Editorial:
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Oxford University Press, 1985
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Geometria algebraica
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Tipo = Artículo
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Resumen:
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A compact Klein surface can be represented in the form D/? where D denotes the hyperbolic plane and ? a non-Euclidean crystallographic (N.E.C.) group of isometries. If ? + denotes the subgroup of orientation-preserving isometries, then D/? + is conformally equivalent to a compact Riemann surface; and if it is hyperelliptic, then D/? is called a hyperelliptic Klein surface (H.K.S.). This paper extends the results of the reviewer [same journal Ser. (2) 22 (1971) 117--123; MR0283194 (44 #427)] to characterise H.K.S. and their smooth normal hyperelliptic coverings via N.E.C. groups and their signatures. In addition, the number of hyperelliptic coverings of a given H.K.S. is computed and all results translated into the language of real algebraic curves.
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