An axiomatic version of Zariski's patching theorem

DOI10.1007/s13398-012-0090-6zbMath1267.14021OpenAlexW2038834735MaRDI QIDQ1940349

Olivier Piltant

Publication date: 6 March 2013

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-012-0090-6

zbMATH Keywords

regularityresolution of singularitiesvaluationsblow upsbirational morphismslocal uniformizationalgebraic threefoldssingularities of vector fieldspatching theoremnonsingular projective models

Mathematics Subject Classification ID

Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Modifications; resolution of singularities (complex-analytic aspects) (32S45) Singularities of vector fields, topological aspects (58K45) Valuations and their generalizations for commutative rings (13A18) Global theory of complex singularities; cohomological properties (32S20)

Related Items (7)

Resolution of singularities of arithmetical threefolds ⋮ Blowings-Up of Vector Fields ⋮ Local monomialization of analytic maps ⋮ Reduction of singularities of three-dimensional line foliations ⋮ Defect and local uniformization ⋮ On the resolution of singularities of one-dimensional foliations on three-manifolds ⋮ Resolution of Singularities: An Introduction

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