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arXiv · 1902.04723

The matroid structure of vectors of the Mordell-Weil lattice and the topology of plane quartics and bitangent lines

Ryutaro Sato·Shinzo Bannai
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Abstract

In this paper, we introduce the terminology of matroids into the study of Zariski-pairs related to rational elliptic surfaces, aiming to simplify the presentation and arguments involved. As an application, we provide new examples of Zariski $N$-ples of relatively low degree. Namely we show that a Zariski 102-ple of degree 18 exists.

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Ryutaro Sato, Shinzo Bannai. 2019-02-13. The matroid structure of vectors of the Mordell-Weil lattice and the topology of plane quartics and bitangent lines. https://arxiv.org/abs/1902.04723

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