Desingularization of embedded excellent surfaces

DOI10.2748/tmj/1178229492zbMath0472.14019OpenAlexW2068879014MaRDI QIDQ1158225

Vincent Cossart

Publication date: 1981

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178229492

zbMATH Keywords

desingularizationNewton polyhedrasingularities of surfaces

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) 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

Simple Hironaka resolution in characteristic zero ⋮ Two computational techniques for singularity resolution ⋮ A simpler proof of toroidalization of morphisms from 3-folds to surfaces ⋮ A strictly decreasing invariant for resolution of singularities in dimension two ⋮ Resolution of singularities of arithmetical threefolds ⋮ Techniques for the study of singularities with applications to resolution of 2-dimensional schemes ⋮ Partial local resolution by characteristic zero methods ⋮ 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 mixed characteristic: case of small multiplicity ⋮ Maximal contact in positive characteristic and small multiplicity. ⋮ Resolution of singularities of threefolds in positive characteristic. II ⋮ Embedded desingularization for arithmetic surfaces – toward a parallel implementation ⋮ Resolution of Singularities: An Introduction ⋮ Regular projective model and desingularization.

Cites Work

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• Desingularization of two-dimensional schemes
• Characteristic polyhedra of singularities
• Certain numerical characters of singularities
• Sur le polyèdre caractéristique d'une singularité