Your institution may have access to this item. Find your institution then sign in to continue.
Title
Avoidance loci and tropicalizations of real bitangents to plane quartics
Authors
Markwig, Hannah; Payne, Sam; Shaw, Kris
Abstract
We compare two partitions of real bitangents to smooth plane quartics into sets of 4: one coming from the closures of connected components of the avoidance locus and another coming from tropical geometry. When both are defined, we use the Tarski principle for real closed fields in combination with the topology of real plane quartics and the tropical geometry of bitangents and theta characteristics to show that they coincide.
Publication
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2024, Vol 154, Issue 4, p1308