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arXiv · 2503.22390

Real Tropical Quartics and their Bitangents: Counting with Patchworking

Alheydis Geiger
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Abstract

For certain tropical quartic curves the existing techniques could not predict the lifting behavior of their bitangents over the real numbers. We close this gap by using patchworking techniques. Further, this paper provides an analysis of the combinatorial types of real tropical quartic curves according to their real topology and number of real bitangents. This paper is accompanied by an extension for polymake; the computational data is available in the database collection polyDB.

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Alheydis Geiger. 2025-03-28. Real Tropical Quartics and their Bitangents: Counting with Patchworking. https://arxiv.org/abs/2503.22390

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