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Group generated by total sextactic points of Kuribayashi quartic curve
Journal of Algebra and Its Applications ( IF 0.8 ) Pub Date : 2020-07-24 , DOI: 10.1142/s021949882150184x
Alwaleed Kamel 1, 2
Affiliation  

A Kuribayashi quartic curve 𝒞a : X4 + Y4 + Z4 + a(X2Y2 + Y2Z2 + Z2X2) = 0,a {1,±2}, carries total sextactic points if and only if a = 14 or a is a zero of P(a) = a3 + 68a2 91a + 98, cf. [1]. In [2], the authors describe the subgroup generated by the total sextactic points in the Jacobian of a Kuribayashi quartic curve when a is a zero of P(a). In this paper, we describe this group when a = 14.

中文翻译:

由栗林四次曲线的总性点生成的组

栗林四次曲线 𝒞一种 X4 + 4 + Z4 + 一种(X22 + 2Z2 + Z2X2) = 0,一种 {-1,±2}, 当且仅当一种 = 14要么一种是零(一种) = 一种3 + 68一种2 - 91一种 + 98,参见。[1]. 在[2],作者描述了由 Kuribayashi 四次曲线的雅可比行列中的总性点生成的子群一种是零(一种).在本文中,我们描述了这个组一种 = 14.
更新日期:2020-07-24
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