Desingularization by blowings-up avoiding simple normal crossings

DOI10.1090/S0002-9939-2014-12178-2zbMath1312.14045arXiv1206.5316OpenAlexW1964164610MaRDI QIDQ2930621

Franklin Vera Pacheco, Sergio Da Silva, Edward Bierstone, Pierre D. Milman

Publication date: 19 November 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.5316

zbMATH Keywords

resolution of singularitiesdesingularization invariantsimple normal crossingscleaningpartial resolution algorithm

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) Local complex singularities (32S05) Invariants of analytic local rings (32S10)

Related Items (4)

Resolution of singularities of pairs preserving semi-simple normal crossings ⋮ Principalization of ideals on toroidal orbifolds ⋮ Desingularization preserving stable simple normal crossings ⋮ Resolution of Singularities: An Introduction

Cites Work

• Unnamed Item
• 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
• Resolution of singularities of pairs preserving semi-simple normal crossings

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