Analytification is the limit of all tropicalizations

• Autores: Sam Payne
• Localización: Mathematical research letters, ISSN 1073-2780, Vol. 16, Nº 2-3, 2009, págs. 543-556
• Idioma: inglés
• DOI: 10.4310/mrl.2009.v16.n3.a13
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• Resumen

  • 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.