Cyclic extensions of Schottky uniformizations.
Hidalgo, Rubén A. (2004)
Annales Academiae Scientiarum Fennicae. Mathematica
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Displaying similar documents to “An example of degeneration on the noded Schottky space.”
Cyclic extensions of Schottky uniformizations.
Hyperelliptic maps and surfaces
David Singerman (1997)
Mathematica Slovaca
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Anticonformal automorphisms and Schottky coverings.
Hidalgo, Rubén A., Costa, Anotnio F. (2001)
Annales Academiae Scientiarum Fennicae. Mathematica
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Automorphism groups of Schottky type.
Hidalgo, Rubén A. (2005)
Annales Academiae Scientiarum Fennicae. Mathematica
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A Fuchsian group proof of the hyperellipticity of Riemann surfaces of genus 2.
Fuertes, Yolanda, González-Diez, Gabino (2003)
Annales Academiae Scientiarum Fennicae. Mathematica
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On pq-hyperelliptic Riemann surfaces
Ewa Tyszkowska (2005)
Colloquium Mathematicae
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A compact Riemann surface X of genus g > 1 is said to be p-hyperelliptic if X admits a conformal involution ϱ, called a p-hyperelliptic involution, for which X/ϱ is an orbifold of genus p. If in addition X admits a q-hypereliptic involution then we say that X is pq-hyperelliptic. We give a necessary and sufficient condition on p,q and g for existence of a pq-hyperelliptic Riemann surface of genus g. Moreover we give some conditions under which p- and q-hyperelliptic involutions of...
On trigonal Riemann surfaces with non-unique morphims
Daniel Ying (2005)
Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales
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Non-maximal cyclic group actions on compact Riemann surfaces.
David Singerman, Paul Watson (1997)
Revista Matemática de la Universidad Complutense de Madrid
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We say that a finite group G of automorphisms of a Riemann surface X is non-maximal in genus g if (i) G acts as a group of automorphisms of some compact Riemann surface Xg of genus g and (ii), for all such surfaces Xg , |Aut Xg| > |G|. In this paper we investigate the case where G is a cyclic group Cn of order n. If Cn acts on only finitely many surfaces of genus g, then we completely solve the problem of finding all such pairs (n,g).
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.