Espaces de Berkovich sur $${\mathbb {Z}}$$: morphismes étales

نویسندگان

چکیده

(Berkovich spaces over $${\mathbb {Z}}$$ : étale morphisms).— We develop properties of unramified, and smooth morphisms between Berkovich . prove that they satisfy analogous to those schemes we provide analytification criteria. Our results hold for any valued field, rings integers a number field discrete valuation rings. Those cases are treated by unified way.

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ژورنال

عنوان ژورنال: Mathematische Zeitschrift

سال: 2023

ISSN: ['1432-1823', '0025-5874']

DOI: https://doi.org/10.1007/s00209-023-03308-4