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106202 |
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|a Hrushovski, Ehud
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|a Massachusetts Institute of Technology. Department of Mathematics
|e contributor
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|a Poonen, Bjorn
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|a Loeser, François
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|a Poonen, Bjorn
|e author
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|a Berkovich spaces embed in Euclidean spaces
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|b European Mathematical Society Publishing House,
|c 2017-01-05T16:08:19Z.
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|z Get fulltext
|u http://hdl.handle.net/1721.1/106202
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|a 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 of K is dense in R>0 and V is a curve, then we describe the homeomorphism type of V[superscript an] by using the theory of local dendrites.
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|a en_US
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|a Article
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|t L'Enseignement Mathématique
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