Automorphism groups of orientable elliptic-hyperelliptic Klein surfaces.
Estrada, Beatriz (2000)
Annales Academiae Scientiarum Fennicae. Mathematica
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Displaying similar documents to “Topological classification of conformal actions on -hyperelliptic Riemann surfaces.”
Automorphism groups of orientable elliptic-hyperelliptic Klein surfaces.
Half-twists and equations in genus 2.
Aigon-Dupuy, Aline (2004)
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...
-hyperelliptic compact nonorientable Klein surfaces without boundary.
Bujalance, J.A., Estrada, B. (2002)
International Journal of Mathematics and Mathematical Sciences
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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).
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 the connectedness of the locus of real Riemann surfaces.
Costa, Antonio F., Izquierdo, Milagros (2002)
Annales Academiae Scientiarum Fennicae. Mathematica
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Cyclic extensions of Schottky uniformizations.
Hidalgo, Rubén A. (2004)
Annales Academiae Scientiarum Fennicae. Mathematica
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Hyperelliptic maps and surfaces
David Singerman (1997)
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A family of M-surfaces whose automorphism groups act transitively on the mirrors.
Adnan Melekoglu (2000)
Revista Matemática Complutense
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Let X be a compact Riemmann surface of genus g > 1. A symmetry T of X is an anticonformal involution. The fixed point set of T is a disjoint union of simple closed curves, each of which is called a mirror of T. If T fixes g +1 mirrors then it is called an M-symmetry and X is called an M-surface. If X admits an automorphism of order g + 1 which cyclically permutes the mirrors of T then we shall call X an M-surface with the M-property. In this paper we investigate those M-surfaces...
Big groups of automorphisms of some Klein surfaces.
Beata Mockiewicz (2002)
RACSAM
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Sea X una superficie de Klein compacta con borde de gen algebraico p ≥ 2. Se sabe que si G es un grupo de automorfismos de X entonces |G| ≤ 12(p- 1). Se dice que G es un grupo grande de gen p si |G| > 4(p -1). En el presente artículo se halla una familia de enteros p para los que el único grupo grande de gen p son los grupos diédricos. Esto significa que, en términos del gen real introducido por C. L. May, para tales valores de p no existen grupos grandes de gen real p. ...