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arXiv · 2401.17680

The Mordell Weil Groups of Cubic Pencils

Jia-Li Mo
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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.

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Jia-Li Mo. 2024-01-31. The Mordell Weil Groups of Cubic Pencils. https://arxiv.org/abs/2401.17680

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