Berkovich spaces on \(\mathbb Z\): local study

DOI10.1007/s00222-013-0451-6zbMath1390.14069arXiv1202.0799OpenAlexW2106072299MaRDI QIDQ2435144

Jérôme Poineau

Publication date: 3 February 2014

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.0799

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Rigid analytic geometry (14G22) Global ground fields in algebraic geometry (14G25) Regular local rings (13H05) Analytic algebras and generalizations, preparation theorems (32B05) Non-Archimedean analysis (32P05)

Related Items

Degenerations of amoebae and Berkovich spaces ⋮ Berkovich curves and Schottky uniformization. II: Analytic uniformization of Mumford curves ⋮ Schottky spaces and universal Mumford curves over \(\mathbb{Z}\) ⋮ Berkovich spaces over \({\mathbb{Z}}\): étale morphisms ⋮ The convergence Newton polygon of a \(p\)-adic differential equation. II: Continuity and finiteness on Berkovich curves ⋮ Tropical and non-Archimedean limits of degenerating families of volume forms ⋮ Berkovich spectra of elements in Banach rings ⋮ Introduction to the Resolution of d ′d ′′ for the Supercurrents in the Non-archimedean Frame

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