Height reduction for local uniformization of varieties and non-Archimedean spaces

DOI10.1016/j.jalgebra.2024.02.011arXiv2301.09160MaRDI QIDQ6196138

Michael Temkin

Publication date: 14 March 2024

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.09160

zbMATH Keywords

valuation ringsBerkovich analytic spaceslocal uniformizationlocal desingularization

Mathematics Subject Classification ID

Arithmetic algebraic geometry (Diophantine geometry) (11Gxx) Birational geometry (14Exx) Non-Archimedean analysis (32Pxx)

Cites Work

• Unnamed Item
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• Principalization of ideals on toroidal orbifolds
• Classification of normal toric varieties over a valuation ring of rank one
• Resolution of singularities of arithmetical threefolds
• Local uniformization on algebraic varieties
• Reduction of the singularities of algebraic three dimensional varieties
• Absolute desingularization in characteristic zero
• Stable modification of relative curves

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