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

R.Sato and S.Bannai

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.

Monogr. Semin. Mat. Garcia Galdeano

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