Displaying similar documents to “On the family of cyclic trigonal Riemann surfaces of genus 4 with several trigonal morphisms.”

Automorphisms of Riemann surfaces with two fixed points

Tomasz Szemberg (1991)

Annales Polonici Mathematici


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.

Riemann and Klein surfaces with nodes viewed as quotients.

Ignacio C. Garijo (2006)

Revista Matemática Complutense


If G is a group of automorphisms that acts properly discontinuously on a Riemann or Klein surface X, then there exists a unique structure of Riemann or Klein surface on X/G such that the projection π: X → X/G is a morphism. The analogous result is not true when we deal with surfaces with nodes. In this paper we give a new definition of a group that acts properly discontinuously on a surface with nodes in order to obtain a similar theorem.

Basis of homology adapted to the trigonal automorphism of a Riemann surface.

Helena B. Campos (2007)



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...

On soluble groups of automorphisms of nonorientable Klein surfaces

G. Gromadzki (1992)

Fundamenta Mathematicae


We classify up to topological type nonorientable bordered Klein surfaces with maximal symmetry and soluble automorphism group provided its solubility degree does not exceed 4. Using this classification we show that a soluble group of automorphisms of a nonorientable Riemann surface of algebraic genus q ≥ 2 has at most 24(q-1) elements and that this bound is sharp for infinitely many values of q.

A, A, S and S of Schottky type.

Rubén A. Hidalgo (2002)

Revista Matemática Complutense


Let H be a group of conformal automorphisms of a closed Riemann surface S, isomorphic to either of the alternating groups A or A or the symmetric groups S or S. We provide necessary and sufficient conditions for the existence of a Schottky uniformization of S for which H lifts. In particular, togheter with the previous works in Hidalgo (1994,1999), we exhaust the list of finite groups of Möbius transformations of Schottky type.

Schottky uniformizations of Z actions on Riemann surfaces.

Rubén A. Hidalgo (2005)

Revista Matemática Complutense


Given a closed Riemann surface S together a group of its conformal automorphisms H ≅ Z , it is known that there are Schottky uniformizations of S realizing H. In this note we proceed to give an explicit Schottky uniformizations for each of all different topological actions of Z as group of conformal automorphisms on a closed Riemann surface.