On the topological type of anticonformal square roots of automorphisms of Riemann surfaces.
Antonio F. Costa (1996)
Manuscripta mathematica
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Antonio F. Costa (1996)
Manuscripta mathematica
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E. Bujalance, J. Gamboa, G. Gromadzki (1993)
Manuscripta mathematica
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J.J. Etayo Gordejuela (1984)
Mathematische Annalen
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Paul Schmutz (1994)
Manuscripta mathematica
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G. Gromadzki, W. Marzantowicz (2011)
Fundamenta Mathematicae
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It is a natural question what is the set of minimal periods of a holomorphic maps on a Riemann surface of negative Euler characteristic. Sierakowski studied ordinary holomorphic periods on classical Riemann surfaces. Here we study orientation reversing automorphisms acting on classical Riemann surfaces, and also automorphisms of non-orientable unbordered Klein surfaces to which, following Singerman, we shall refer to as non-orientable Riemann surfaces. We get a complete set of conditions...
Eleonora Palmieri (2008)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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We prove that a numerical Godeaux surface cannot have an automorphism of order three.
W. Barth, C. Peters (1983)
Inventiones mathematicae
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Gonzalo Riera, Rubi Rodriguez (1988)
Mathematische Annalen
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Bujalance, E. (1997)
Annales Academiae Scientiarum Fennicae. Mathematica
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I. Dolgachev (1984)
Inventiones mathematicae
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David Singerman (1974)
Mathematische Annalen
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Grzegorz Gromadzki (2008)
Revista Matemática Complutense
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Emilio Bujalance (1986)
Manuscripta mathematica
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Tomasz Szemberg (1991)
Annales Polonici Mathematici
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We give an upper bound for the order of an automorphism of a Riemann surface with two fixed points. The main results are presented in Theorems 1.4 and 2.4.