Bitangents to plane quartics via tropical geometry: rationality, ${\mathbb{A}}^1$-enumeration, and real signed count

Hannah Markwig, Sam Payne, Kris Shaw

We explore extensions of tropical methods to arithmetic enumerative problems such as ${\mathbb{A}}^1$-enumeration with values in the Grothendieck-Witt ring, and rationality over Hens…