Articles

Here are some of the articles that I have written or co-authored.


A. F. Costa, M. Izquierdo, D. Ying, On Riemann surfaces with non-unique cyclic trigonal morphism, Manuscripta math. 118, (2005) 443-453


Abstract. A closed Riemann surface which can be realized as a 3-sheeted covering of the Riemann sphere is called trigonal, and such a covering will be called a trigonal morphism. If the trigonal morphism is a cyclic regular covering, the Riemann surface is called cyclic trigonal Riemann surface. Accola showed that the trigonal morphism is unique for Riemann surfaces of genus greater or equal to 5. Using the characterization of cyclic trigonality by Fuchsian groups given in [3], we obtain the Riemann surfaces of low genus with non-unique trigonal morphisms.

M. Izquierdo, D. Ying, On the space of cyclic trigonal Riemann surfaces of genus 4, to apperar in Groups St. Andrews 2005.

Abstract. A closed Riemann surface which can be realized as a 3-sheeted covering of the Riemann sphere is called trigonal, and such a covering is called a trigonal morphism. If the trigonal morphism is a cyclic regular covering, the Riemann surface is called a cyclic trigonal Riemann surface. Using the characterization of cyclic trigonality by Fuchsian groups, we describe the structure of the space of cyclic trigonal Riemann surfaces of genus 4.

A. F. Costa, M. Izquierdo, D. Ying, On the family of cyclic trigonal Riemann surfaces of genus 4, preprint

A. F. Costa, M. Izquierdo, D. Ying, On cyclic p-gonal Riemann surfaces with several p-gonal morphisms, preprint

M. Izquierdo, D. Ying,