Tropical functions on a skeleton
Algebraic Geometry
2024-06-25 v3 Logic
Abstract
We prove a general finiteness statement for the ordered abelian group of tropical functions on skeleta in Berkovich analytifications of algebraic varieties. Our approach consists in working in the framework of stable completions of algebraic varieties, a model-theoretic version of Berkovich analytifications, for which we prove a similar result, of which the former one is a consequence.
Cite
@article{arxiv.2210.04003,
title = {Tropical functions on a skeleton},
author = {Antoine Ducros and Ehud Hrushovski and François Loeser and Jinhe Ye},
journal= {arXiv preprint arXiv:2210.04003},
year = {2024}
}
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47 pages