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Automorphism groups of non-orientable elliptic-hyperelliptic Klein surfaces with boundary

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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Aims and scope Submit manuscript

Abstract

A classical study about Klein and Riemann surfaces consists in determining their groups of automorphisms. This problem is very difficult in general,and it has been solved for particular families of surfaces or for fixed topological types. In this paper, we calculate the automorphism groups of non-orientable bordered elliptic-hyperelliptic Klein surfaces of algebraic genus \(p>5\).

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Authors and Affiliations

  1. Departamento de Matemáticas Fundamentales, U.N.E.D., Paseo Senda del Rey, 9. 28040, Madrid, Spain

    Beatriz Estrada

  2. Departamento de Álgebra, Facultad de Matemáticas, Universidad Complutense, 28040, Madrid, Spain

    J. J. Etayo

Authors
  1. Beatriz Estrada
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  2. J. J. Etayo
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Correspondence to Beatriz Estrada.

Additional information

B. Estrada, Supported by MTM20011-23092, MTM2014-55812. J. J. Etayo, Supported by UCM910444, MTM2011-22435, MTM2014-55565.

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Estrada, B., Etayo, J.J. Automorphism groups of non-orientable elliptic-hyperelliptic Klein surfaces with boundary. RACSAM 110, 457–481 (2016). https://doi.org/10.1007/s13398-015-0243-5

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  • DOI: https://doi.org/10.1007/s13398-015-0243-5

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