Computing tropical bitangents to smooth quartic curves in polymake
Algebraic Geometry
2021-12-09 v1 Combinatorics
Abstract
In this article we introduce the recently developed polymake extension TropicalQuarticCurves and its associated database entry in polyDB dealing with smooth tropical quartic curves. We report on algorithms implemented to analyze tropical bitangents and their lifting conditions over real closed valued fields. The new functions and data were used by the authors to provide a tropical proof of Pl\"ucker and Zeuthen's count of real bitangents to smooth quartic curves.
Keywords
Cite
@article{arxiv.2112.04447,
title = {Computing tropical bitangents to smooth quartic curves in polymake},
author = {Alheydis Geiger and Marta Panizzut},
journal= {arXiv preprint arXiv:2112.04447},
year = {2021}
}
Comments
19 pages, 5 figures