On Weierstrass Points of a Family of Quartic Curves

Abstract

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.