Tropical linear systems and the realizability problem
Algebraic Geometry
2025-06-27 v1 Combinatorics
Abstract
This thesis delves into the geometry of abstract tropical curves, exploring their complete linear system and associated tropical submodules. We establish a lower bound on the dimension of tropical submodules in terms of the Baker-Norine rank. Furthermore, the work provides a characterization of realizable canonical divisors, addressing a fundamental problem in connecting tropical geometry to its algebraic counterpart.
Cite
@article{arxiv.2506.21268,
title = {Tropical linear systems and the realizability problem},
author = {Matthew Dupraz},
journal= {arXiv preprint arXiv:2506.21268},
year = {2025}
}
Comments
Master's thesis submitted in June 2024, submitted version, 51 pages, 11 figures