Mathematics > Algebraic Geometry
[Submitted on 8 Oct 2022 (v1), last revised 19 Jun 2024 (this version, v3)]
Title:Tropical functions on a skeleton
View PDF HTML (experimental)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.
Submission history
From: Francois Loeser [view email][v1] Sat, 8 Oct 2022 11:59:17 UTC (66 KB)
[v2] Mon, 13 Mar 2023 09:20:28 UTC (69 KB)
[v3] Wed, 19 Jun 2024 16:30:30 UTC (67 KB)
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