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arXiv · 1304.2565

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

Eslam E. Badr·Mohammed A. Saleem
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Abstract

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 \[ C_{a,b,c}:x^{4}+y^{4}+z^{4}+ax^{2}y^{2}+bx^{2}z^2+cy^{2}z^{2}=0, \] such that $(a^2-1)(b^2-1)(c^2-1)(a^2-4)(b^2-4)(c^2-4)(a^2+b^2+c^2-abc-4)\neq0.$ Furthermore, the geometry of these points is investigated.

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BibTeXRIS

Eslam E. Badr, Mohammed A. Saleem. 2013-04-09. Classification of 1-Weierstrass points on Kuribayashi quartics, II (with three parameters). https://arxiv.org/abs/1304.2565

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