scientific article; zbMATH DE number 2230034

zbMath1093.14021MaRDI QIDQ5708398

Heisuke Hironaka

Publication date: 18 November 2005

Full work available at URL: http://smf4.emath.fr/en/Publications/SeminairesCongres/2005/10/html/smf_sem-cong_10_87-126.html

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zbMATH Keywords

characteristic exponentsidealistic exponentspermissible diagramssmooth blowing-ups

Mathematics Subject Classification ID

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)

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Hypersurface singularities in positive characteristic ⋮ Resolution of singularities of arithmetical threefolds ⋮ Idealistic exponents: tangent cone, ridge, characteristic polyhedra ⋮ \(p\)-bases and differential operators on varieties defined over a non-perfect field ⋮ Rees algebras on smooth schemes: Integral closure and higher differential operator ⋮ On the mathematical work of Professor Heisuke Hironaka ⋮ Elimination with applications to singularities in positive characteristic ⋮ On the highest multiplicity locus of algebraic varieties and Rees algebras ⋮ 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 ⋮ Ramification of Valuations and Local Rings in Positive Characteristic ⋮ Singularities in positive characteristic, stratification and simplification of the singular locus ⋮ Defect and local uniformization ⋮ Resolution of Singularities: An Introduction ⋮ Multiplicity along points of a radicial covering of a regular variety ⋮ Counterexamples to local monomialization in positive characteristic

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