数学理论与应用 ›› 2023, Vol. 43 ›› Issue (4): 48-58.doi: 10.3969/j.issn.1006-8074.2023.04.003
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莫佳丽
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This work is supported by the Natural Science Foundation of Jiangsu Province(Nos. BK20181427, BK20211305) and Postgraduate
Research & Practice Innovation Program of Jiangsu Province(No. KYCX22_3180)
Mo Jiali
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Research & Practice Innovation Program of Jiangsu Province(No. KYCX22_3180
摘要： 本文研究三次线束的基点对莫德尔-韦依群的影响. 具体来说, 我们研究有 8, 7, 6 个基点在一般位置上的三次线束, 对这些线束进行分类, 并给出它们的一些应用.
关键词: 基点, 三次线束, 椭圆曲线, 莫德尔-韦依群
Abstract: In this paper we study the influences of the base points of cubic pencils on the Mordell-Weil groups. Specifically, we investigate and classify the cubic pencils with 8, 7 and 6 base points in general position, and give some applications.
Key words: Base point, Cubic pencil, Elliptic curve, Mordell-Weil group
莫佳丽. 三次线束的莫德尔-韦依群[J]. 数学理论与应用, 2023, 43(4): 48-58.
Mo Jiali. The Mordell-Weil Groups of Cubic Pencils[J]. Mathematical Theory and Applications, 2023, 43(4): 48-58.
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链接本文: http://mta.csu.edu.cn/CN/10.3969/j.issn.1006-8074.2023.04.003
http://mta.csu.edu.cn/CN/Y2023/V43/I4/48
