On Berkovich double residue fields and birational models

DOI10.21099/tkbjm/20244801001MaRDI QIDQ6621594

Keita Goto

Publication date: 18 October 2024

Published in: Tsukuba Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Berkovich analytic spacebirational modeldouble residue fieldquasi monomial valuation

Mathematics Subject Classification ID

Rigid analytic geometry (14G22) Birational geometry (14E99) Local theory in algebraic geometry (14B99)

Cites Work

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• Desingularization of quasi-excellent schemes in characteristic zero
• Imbedding of an abstract variety in a complete variety
• Smooth \(p\)-adic analytic spaces are locally contractible
• Valuations and asymptotic invariants for sequences of ideals
• Local uniformization on algebraic varieties.
• Singular semipositive metrics in non-Archimedean geometry
• On the Valuations Centered in a Local Domain
• Abhyankar places admit local uniformization in any characteristic
• Uniform approximation of Abhyankar valuation ideals in smooth function fields

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