Mathematical Research Letters
Volume 16 (2009)
Analytification is the limit of all tropicalizations
Pages: 543 – 556
We introduce extended tropicalizations for closed subvarieties of toric varieties and show that the analytification of a quasprojective variety over a nonarchimedean field is naturally homeomorphic to the inverse limit of the tropicalizations of its quasiprojective embeddings.
Published 1 January 2009