An introduction to local tropicalization
Algebraic Geometry
2025-02-18 v1 Combinatorics
Abstract
In this paper we explain four viewpoints on the local tropicalization of formal subgerms of toric germs, which is a local analog of the global tropicalization of subvarieties of algebraic tori. We start by illustrating some of those viewpoints for plane curve singularities, then we pass to arbitrary dimensions. We conclude by describing several variants and extensions of the notion of local tropicalization presented in this paper.
Keywords
Cite
@article{arxiv.2502.11224,
title = {An introduction to local tropicalization},
author = {Patrick Popescu-Pampu and Dmitry Stepanov},
journal= {arXiv preprint arXiv:2502.11224},
year = {2025}
}
Comments
28 pages, 7 figures. To appear in Volume 8 of the Handbook of Geometry and Topology of Singularities, Springer