Faithful tropicalization of hyperelliptic curves
Algebraic Geometry
2023-11-16 v2
Abstract
We provide explicit faithful re-embeddings for all hyperelliptic curves of genus at most three and an algorithmic way to construct them. Both in the faithful tropicalization algorithm and the proofs of correctness, we showcase OSCAR-methods for commutative algebra, polyhedral and tropical geometry.
Keywords
Cite
@article{arxiv.2310.02947,
title = {Faithful tropicalization of hyperelliptic curves},
author = {Hannah Markwig and Lukas Ristau and Victoria Schleis},
journal= {arXiv preprint arXiv:2310.02947},
year = {2023}
}
Comments
Minor corrections. 22 pages. Submitted as a bookchapter for the upcoming Oscar book