On trigonal Riemann surfaces with non-unique morphims
Daniel Ying (2005)
Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales
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Displaying similar documents to “Theory of coverings in the study of Riemann surfaces”
On trigonal Riemann surfaces with non-unique morphims
Covering spaces of families of compact Riemann surfaces.
Terrence Napier (1992)
Mathematische Annalen
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Basis of homology adapted to the trigonal automorphism of a Riemann surface.
Helena B. Campos (2007)
RACSAM
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A closed (compact without boundary) Riemann surface S of genus g is said to be trigonal if there is a three sheeted covering (a trigonal morphism) from S to the Riemann sphere, ƒ : S →Ĉ. If there is an automorphism of period three, φ, on S permuting the sheets of the covering, we shall call S cyclic trigonal and will be called trigonal automorphism. In this paper we determine the intersection matrix on the first homology group of a cyclic trigonal Riemann surface on an adapted basis...
The full automorphism groups of hyperelliptic Riemann surfaces.
E. Bujalance, J. Gamboa, G. Gromadzki (1993)
Manuscripta mathematica
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Conformal actions with prescribed periods on Riemann surfaces
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...
On conjugacy of p-gonal automorphisms of Riemann surfaces.
Grzegorz Gromadzki (2008)
Revista Matemática Complutense
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On the connectedness of the locus of real Riemann surfaces.
Costa, Antonio F., Izquierdo, Milagros (2002)
Annales Academiae Scientiarum Fennicae. Mathematica
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On the family of cyclic trigonal Riemann surfaces of genus 4 with several trigonal morphisms.
Antonio F. Costa, Milagros Izquierdo, Daniel Ying (2007)
RACSAM
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A closed Riemann surface which is a 3-sheeted regular covering of the Riemann sphere is called cyclic trigonal, and such a covering is called a cyclic trigonal morphism. Accola showed that if the genus is greater or equal than 5 the trigonal morphism is unique. Costa-Izquierdo-Ying found a family of cyclic trigonal Riemann surfaces of genus 4 with two trigonal morphisms. In this work we show that this family is the Riemann sphere without three points. We also prove that the Hurwitz space...
Automorphisms of Riemann surfaces with two fixed points
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.
On supersoluble groups acting on Klein surfaces.
Grzegorz Gromadzki (1990)
Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales
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Hyperelliptic maps and surfaces
David Singerman (1997)
Mathematica Slovaca
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On ovals on Riemann surfaces.
Grzegorz Gromadzki (2000)
Revista Matemática Iberoamericana
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We prove that k (k ≥ 9) non-conjugate symmetries of a Riemann surface of genus g have at most 2g - 2 + 2(9 - k) ovals in total, where r is the smallest positive integer for which k ≤ 2. Furthermore we prove that for arbitrary k ≥ 9 this bound is sharp for infinitely many values of g.