Limits of tropicalizations

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Limits of tropicalizations

We give general criteria under which the limit of a system of tropicalizations of a scheme over a nonarchimedean field is homeomorphic to the analytification of the scheme. As an application, we show that the analytification of an arbitrary closed subscheme of a toric variety is naturally homeomorphic to the limit of its tropicalizations, generalizing an earlier result of the third author for q...

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ژورنال

عنوان ژورنال: Israel Journal of Mathematics

سال: 2014

ISSN: 0021-2172,1565-8511

DOI: 10.1007/s11856-014-1051-x