Alternative invariants for the embedded resolution of purely inseparable surface singularities

DOI10.4171/LEM/60-1/2-8zbMath1315.14049arXiv1403.6789OpenAlexW2963853576MaRDI QIDQ482047

Herwig Hauser, Dominique Wagner

Publication date: 19 December 2014

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.6789

zbMATH Keywords

Newton polygonresolution of singularitiespositive characteristicblowupsembedded resolutionpurely inseparable surfaces

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Singularities of surfaces or higher-dimensional varieties (14J17)

Related Items (5)

Blurred combinatorics in resolution of singularities: (A little) Beyond the characteristic polytope ⋮ A strictly decreasing invariant for resolution of singularities in dimension two ⋮ Cycles of singularities appearing in the resolution problem in positive characteristic ⋮ Partial local resolution by characteristic zero methods ⋮ Characterizing the increase of the residual order under blowup in positive characteristic

Cites Work

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• Techniques for the study of singularities with applications to resolution of 2-dimensional schemes
• Singularities in positive characteristic, stratification and simplification of the singular locus
• Local uniformization on algebraic surfaces over ground fields of characteristic \(p\neq 0\)
• Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant
• Nonsplitting of valuations in extensions of two dimensional regular local domains
• Algebraic approximation of structures over complete local rings
• A simplified proof of desingularization and applications

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