Berkovich spaces embed in Euclidean spaces

Let K be a field that is complete with respect to a nonarchimedean absolute value such that K has a countable dense subset. We prove that the Berkovich analytification V[superscript an] of any d-dimensional quasi-projective scheme V over K embeds in R[superscrip 2d+1]. If, moreover, the value group...

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Bibliographic Details
Main Authors: Hrushovski, Ehud, Loeser, François, Poonen, Bjorn
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: European Mathematical Society Publishing House 2017
Online Access:http://hdl.handle.net/1721.1/106202
https://orcid.org/0000-0002-8593-2792