Classification of 1-Weierstrass points on Kuribayashi quartics, II (with three parameters)

الأصل · EN

In this paper, we classify the 1-Weierstrass points of the Kuribayashi quartic curves with three parameters a,b and c defined by the equation Cₐ,b,c:x⁴+y⁴+z⁴+ax²y²+bx²z²+cy²z²=0, such that (a²-1)(b²-1)(c²-1)(a²-4)(b²-4)(c²-4)(a²+b²+c²-abc-4)≠0. Furthermore, the geometry of these points is investigated.