Bitangents of non-smooth tropical quartics

Abstract

We study bitangents of non-smooth tropical plane quartics. Our main result is that with appropriate multiplicities, every such curve has 7 equivalence classes of bitangent lines. Moreover, the multiplicity of bitangent lines varies continuously in families of tropical plane curves.

8 pages, 3 figures. Initiated at the Fields Undergraduate Summer Research Program

References in corpus (3)

• Moduli of Tropical Plane Curves
• Lifting tropical bitangents
• Theta characteristics of tropical $K_4$-curves

Cited by in corpus (3)

• Combinatorics and real lifts of bitangents to tropical quartic curves
• Bitangents to plane quartics via tropical geometry: rationality, ${\mathbb{A}}^1$-enumeration, and real signed count
• Projective duals to algebraic and tropical hypersurfaces