Adapted hyperbolic polygons and symplectic representations for group actions on Riemann surfaces

2013 ◽  
Vol 217 (3) ◽  
pp. 409-426 ◽  
Author(s):  
Antonio Behn ◽  
Rubí E. Rodríguez ◽  
Anita M. Rojas
Keyword(s):  
Riemann Surfaces ◽  
Group Actions ◽  
Symplectic Representations

scholarly journals On extendability of group actions on compact Riemann surfaces

2002 ◽  
Vol 355 (4) ◽  
pp. 1537-1557 ◽  
Author(s):  
Emilio Bujalance ◽  
F. J. Cirre ◽  
Marston Conder
Keyword(s):  
Riemann Surfaces ◽  
Group Actions ◽  
Compact Riemann Surfaces

Dihedral Groups of Automorphisms of Compact Riemann Surfaces

1998 ◽  
Vol 41 (2) ◽  
pp. 252-256 ◽  
Author(s):  
Qingjie Yang
Keyword(s):  
Riemann Surfaces ◽  
Group Actions ◽  
Dihedral Groups ◽  
Groups Of Automorphisms ◽  
Compact Riemann Surfaces

AbstractIn this note we determine which dihedral subgroups of GLg(ℂ) can be realized by group actions on Riemann surfaces of genus g > 1.

Triangulations and moduli spaces of Riemann surfaces with group actions

1995 ◽  
Vol 88 (1) ◽  
pp. 209-224 ◽  
Author(s):  
P. Buser ◽  
M. Seppälä ◽  
R. Silhol
Keyword(s):  
Moduli Spaces ◽  
Riemann Surfaces ◽  
Group Actions

On Weierstrass Points of a Family of Quartic Curves

2015 ◽  
Vol 25 (14) ◽  
pp. 1540027
Author(s):  
Saleem Mohammed ◽  
Badr Eslam
Keyword(s):  
Finite Group ◽  
Riemann Surfaces ◽  
Group Actions ◽  
Finite Group Actions ◽  
Weierstrass Points ◽  
The Family ◽  
Compact Riemann Surfaces ◽  
Quartic Curves

The aim of this paper is to investigate properties of the Weierstrass points on the family of compact Riemann surfaces [Formula: see text], where [Formula: see text] and [Formula: see text] are parameters such that [Formula: see text] and [Formula: see text] by using finite group actions on this family. Furthermore, the geometry of these points is discussed.

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