Perron Transforms

DOI10.1080/00927872.2012.754237zbMath1298.13006OpenAlexW4242384051MaRDI QIDQ5412055

Samar ElHitti

Publication date: 25 April 2014

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

Full work available at URL: https://doi.org/10.1080/00927872.2012.754237

zbMATH Keywords

local uniformizationPerron transformationarbitrary rank valuation

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Valuations and their generalizations for commutative rings (13A18) Singularities of curves, local rings (14H20)

Related Items (5)

Essential finite generation of valuation rings in characteristic zero algebraic function fields ⋮ Local monomialization of analytic maps ⋮ Extensions of valuations to the Henselization and completion ⋮ Extensions of valuations to the Henselization and completion of a local ring ⋮ Local uniformization of Abhyankar valuations

Cites Work

• Unnamed Item
• Resolution of singularities of threefolds in positive characteristic. I: Reduction to local uniformization on Artin-Schreier and purely inseparable coverings
• Resolution of singularities of threefolds in positive characteristic. II
• Local uniformization on algebraic surfaces over ground fields of characteristic \(p\neq 0\)
• Inseparable local uniformization
• Formal prime ideals of infinite value and their algebraic resolution
• Sandwiched singularities and desingularization of surfaces by normalized Nash transformations
• The reduction of the singularities of an algebraic surface
• Local uniformization on algebraic varieties
• Valuations in Function Fields of Surfaces

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