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arXiv · 2002.11548

Maximally inflected real trigonal curves on Hirzebruch surfaces

V. I. Zvonilov
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Abstract

In 2014 A. Degtyarev, I. Itenberg and the author gave a description, up to fiberwise equivariant deformations, of maximally inflected real trigonal curves of type~I (over a base $ B $ of an arbitrary genus) in terms of the combinatorics of sufficiently simple graphs and for $ B=\mathbb{P}^1 $ obtained a complete classification of such curves. In this paper, the mentioned results are extended to maximally inflected real trigonal curves of type~II over $ B=\mathbb{P}^1 $. As usual, the results for such curves are extended to real Jacobian elliptic surfaces with all singular fibers real.

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V. I. Zvonilov. 2020-02-26. Maximally inflected real trigonal curves on Hirzebruch surfaces. https://arxiv.org/abs/2002.11548

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