Local monomialization of transcendental extensions.

DOI10.5802/aif.2132zbMath1081.14020arXivmath/0212184OpenAlexW2133785524MaRDI QIDQ2566835

Steven Dale Cutkosky

Publication date: 29 September 2005

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0212184

zbMATH Keywords

resolution of singularitiestoroidalizationlocal uniformization theorem

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Rational and birational maps (14E05) Valuations and their generalizations for commutative rings (13A18)

Related Items (11)

Essential finite generation of valuation rings in characteristic zero algebraic function fields ⋮ Étoiles and valuations ⋮ Weak toroidalization over non-closed fields ⋮ A simpler proof of toroidalization of morphisms from 3-folds to surfaces ⋮ Monomialization of a quasianalytic morphism ⋮ Erratic birational behavior of mappings in positive characteristic ⋮ Principalization of ideals on toroidal orbifolds ⋮ Local monomialization of analytic maps ⋮ Monomialization of morphisms and p-adic quantifier elimination ⋮ Local uniformization of Abhyankar valuations ⋮ Counterexamples to local monomialization in positive characteristic

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