A note on tropicalization in the context of Berkovich spaces

Autor:	Florent Martin
Rok vydání:	2015
Předmět:	Discrete mathematics Combinatorics Morphism Group (mathematics) General Mathematics Quantifier elimination Dimension (graph theory) Value (computer science) Context (language use) Field (mathematics) Space (mathematics) Mathematics
Zdroj:	Israel Journal of Mathematics. 210:323-334
ISSN:	1565-8511 0021-2172
DOI:	10.1007/s11856-015-1254-9
Popis:	Let K be a non-Archimedean non-trivially valued field, and Γ be its value group. Let X be a compact strictly K-analytic space and f: X → \(A_K^{n,an}\) be a morphism of K-analytic spaces. We prove that |f|(X) ∩ (ℝ*+)n is a Γ-rational polyhedral set whose dimension is less than or equal to dim(X). The main ingredient of the proof is a quantifier elimination theorem for subanalytic sets due to Leonard Lipshitz.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b568709e2959bf2e041b8f0cbaf29a8e https://doi.org/10.1007/s11856-015-1254-9 Zobrazit plný text záznamu Full text from SpringerLink