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arXiv · 2110.06429

The geometry of three sections on certain rational elliptic surfaces and Mumford representations

Ryosuke Masuya
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Abstract

In this article, we study the geometry of plane curves obtained by three sections and another section given as their sum on certain rational elliptic surfaces. We make use of Mumford representations of semi-reduced divisors in order to study the geometry of sections. As a result, we are able to give new proofs for some classical results on singular plane quartics and their bitangent lines.

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Ryosuke Masuya. 2021-10-13. The geometry of three sections on certain rational elliptic surfaces and Mumford representations. https://arxiv.org/abs/2110.06429

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