Tropical second main theorem and the Nevanlinna inverse problem
Algebraic Geometry
2023-05-24 v1 Complex Variables
Abstract
A generalization of the second main theorem of tropical Nevanlinna theory is presented for noncontinuous piecewise linear functions and for tropical hypersurfaces without requiring a growth condition. The method of proof is novel and significantly more straightforward than previously known proofs. The tropical analogue of the Nevanlinna inverse problem is formulated and solved for tropical meromorphic functions and tropical hypersurfaces.
Cite
@article{arxiv.2305.13939,
title = {Tropical second main theorem and the Nevanlinna inverse problem},
author = {Juho Halonen and Risto Korhonen and Galina Filipuk},
journal= {arXiv preprint arXiv:2305.13939},
year = {2023}
}