A note on tropicalization in the context of Berkovich spaces

Martin, Florent (2015) A note on tropicalization in the context of Berkovich spaces. ISRAEL JOURNAL OF MATHEMATICS, 210 (1). pp. 323-334. ISSN 0021-2172, 1565-8511

Full text not available from this repository. (Request a copy)

Abstract

Let K be a non-Archimedean non-trivially valued field, and I" be its value group. Let X be a compact strictly K-analytic space and f: X -> be a morphism of K-analytic spaces. We prove that |f|(X) a (c) (a"e*(+)) (n) is a I"-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.

Item Type: Article
Uncontrolled Keywords: RIGID SUBANALYTIC SETS; MINIMALITY;
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 07 Jun 2019 12:43
Last Modified: 07 Jun 2019 12:43
URI: https://pred.uni-regensburg.de/id/eprint/4864

Actions (login required)

View Item View Item