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The Mordell Weil Groups of Cubic Pencils

Algebraic Geometry 2024-02-01 v1

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.

Keywords

Cite

@article{arxiv.2401.17680,
  title  = {The Mordell Weil Groups of Cubic Pencils},
  author = {Jia-Li Mo},
  journal= {arXiv preprint arXiv:2401.17680},
  year   = {2024}
}

Comments

12 pages, 3 figures