Tropical functions on a skeleton
Fuente:
arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866914845509550080 |
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| author | Ducros, Antoine Hrushovski, Ehud Loeser, François Ye, Jinhe |
| author_facet | Ducros, Antoine Hrushovski, Ehud Loeser, François Ye, Jinhe |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_04003 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Tropical functions on a skeleton Ducros, Antoine Hrushovski, Ehud Loeser, François Ye, Jinhe Algebraic Geometry Logic 14G22, 03C98 (Primary), 14T20 (Secondary) 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. |
| title | Tropical functions on a skeleton |
| topic | Algebraic Geometry Logic 14G22, 03C98 (Primary), 14T20 (Secondary) |
| url | https://arxiv.org/abs/2210.04003 |