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Curvas algebraicas reales y superficies de Klein

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Bujalance, E. and Etayo Gordejuela, J. Javier and Gamboa, J. M. (1984) Curvas algebraicas reales y superficies de Klein. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales., 78 . pp. 221-227. ISSN 1137-2141

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Official URL: http://dmle.cindoc.csic.es/pdf/RRACEFN_1984_78_01-02_24.pdf


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Abstract

The classical correspondence between Riemann surfaces and complex algebraic curves, extends by the work of Ailing and Greenleaf to Klein surfaces and real algebraic curves. The topological invariants of the surface determine the ones of a smonoth and bounded model of the associated curve, and conversely. Moreover, the fields of meromorphic functions of both coincide. So, the automorphisms group, the real part of the associated complex curve, and the coverings and moduli space of the curve, may be studied in terms of the automorphisms group, the symmetries, the coverings and the Teichmüller space of the associated surface.


Item Type:Article
Uncontrolled Keywords:Riemann surfaces; Complex algebraic curves; automorphisms groups
Subjects:Sciences > Mathematics > Algebraic geometry
Sciences > Mathematics > Functions
ID Code:15739
Deposited On:22 Jun 2012 11:26
Last Modified:07 Aug 2018 07:24

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