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

Author:

Markwig Hannah,Payne SamORCID,Shaw Kris

Funder

National Science Foundation

Deutsche Forschungsgemeinschaft

Trond Mohn stiftelse

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Mathematics (miscellaneous),Theoretical Computer Science

Reference35 articles.

1. Allamigeon, X., Benchimol, P., Gaubert, S., Joswig, M.: Tropicalizing the simplex algorithm. SIAM J. Discrete Math. 29(2), 751–795 (2015)

2. Baker, M., Len, Y., Morrison, R., Pflueger, N., Ren, Q.: Bitangents of tropical plane quartic curves. Math. Z. 282, 1017–1031 (2016)

3. Brugallé, E., Itenberg, I., Mikhalkin, G., Shaw, K.: Brief introduction to tropical geometry. In: Proceedings of the Gökova Geometry-Topology Conference 2014, 1–75. Gökova Geometry/Topology Conference (GGT), Gökova (2015)

4. Brugallé, E., Lucia, M., de Medrano, L.: Inflection points of real and tropical plane curves. J. Singul. 4, 74–103 (2012)

5. Chan, M., Jiradilok, P.: Theta characteristics of tropical $$K_4$$-curves. In: Combinatorial Algebraic Geometry, volume 80 of Fields Inst. Commun., 65–86. Fields Inst. Res. Math. Sci., Toronto, ON (2017)

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Avoidance loci and tropicalizations of real bitangents to plane quartics;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;2023-07-26

2. Bounding the signed count of real bitangents to plane quartics;manuscripta mathematica;2023-06-14

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