Submission date: 8 October 2022

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.

Mathematics Subject Classification: 14G22, 03C98 (Primary), 14T20 (Secondary)

Keywords and phrases:

Full text arXiv 2210.04003: pdf, ps.