Resolution except for minimal singularities. II. The case of four variables

DOI10.1016/j.aim.2012.08.001zbMath1262.14003arXiv1107.5598OpenAlexW2963196583MaRDI QIDQ715224

Edward Bierstone, Pierre Lairez, Pierre D. Milman

Publication date: 2 November 2012

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.5598

zbMATH Keywords

resolution of singularitiesnormal formbirational geometrynormal crossingsdesingularization invariant

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Modifications; resolution of singularities (complex-analytic aspects) (32S45) Singularities of surfaces or higher-dimensional varieties (14J17) Normal forms on manifolds (58K50) Local complex singularities (32S05) Invariants of analytic local rings (32S10)

Related Items (4)

Functorial resolution except for toroidal locus. Toroidal compactification ⋮ Resolution of singularities of pairs preserving semi-simple normal crossings ⋮ Resolution except for minimal singularities. I ⋮ Resolution of Singularities: An Introduction

Cites Work

• Resolution except for minimal singularities. I
• Functoriality in resolution of singularities
• Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant
• On the Ramification of Algebraic Functions
• Algorithms in invariant theory

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