International Journal of Mathematics and Mathematical Sciences
Volume 22 (1999), Issue 3, Pages 489-496
doi:10.1155/S0161171299224891

On the distribution of ramification points in trigonal curves

Cícero F. Carvalho

Departmento de Matemática, Universidade Federal de Uberlândia, Av. Universitária s/n., Uberlândia 38400, MG, Brazil

Abstract

We study the distribution of the total and ordinary ramification points of a trigonal curve over the intersection of this curve with rational curves on a rational normal scroll. We show, among other results, that these intersections may contain all the ramification points of the trigonal curve.