Publicación: Abelian Actions on Pseudo-real Riemann Surfaces
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2023-04-08
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info:eu-repo/semantics/openAccess
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Springer
Resumen
A compact Riemann surface is called pseudo-real if it admits orientation-reversing automorphisms but none of them has order two. In this paper, we find necessary and sufficient conditions for the existence of an action on a pseudo-real surface of genus g 2 of an abelian group containing orientation-reversing automorphisms. Several consequences are obtained, such as the solution of the minimum genus problem for such abelian actions.
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Categorías UNESCO
Palabras clave
Pseudo-real, Riemann surface, Abelian group action
Citación
Bujalance, E., Cirre, F.J. & Rodríguez, J. Abelian Actions on Pseudo-real Riemann Surfaces. Mediterr. J. Math. 20, 184 (2023). https://doi.org/10.1007/s00009-023-02372-8
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Facultades y escuelas::Facultad de Ciencias
Departamento
Matemáticas Fundamentales