Resolution of singularities
In algebraic geometry, the problem of resolution of singularities asks whether every algebraic variety V has a resolution, a non-singular variety W with a proper birational map W→V. For varieties over fields of characteristic 0 this was proved in , while for varieties over fields of characteristic p it is an open problem in dimensions at least 4.
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Aise Johan de JongAlgebraic geometryBeppo LeviBirational geometryBlowing upBott–Samelson resolutionCanonical ringCanonical singularityCrepant resolutionDan AbramovichDesingularisationDesingularizationDeterminantal varietyEguchi–Hanson spaceExcellent ringFields MedalGlossary of algebraic geometryGlossary of arithmetic and diophantine geometryGroup theoryHeisuke HironakaHironaka's resolution of singularitiesHironaka's theoremHironaka theoremHodge structureIgusa zeta functionIntegral elementIntersection homologyK3 surfaceList of algebraic geometry topicsList of long mathematical proofsList of theoremsList of unsolved problems in mathematicsLocal uniformizationMasaki KashiwaraMax NoetherMorphism of algebraic varietiesMultiplicity theoryNash blowing-upNisnevich topologyNormal scheme
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Resolution of singularities
In algebraic geometry, the problem of resolution of singularities asks whether every algebraic variety V has a resolution, a non-singular variety W with a proper birational map W→V. For varieties over fields of characteristic 0 this was proved in , while for varieties over fields of characteristic p it is an open problem in dimensions at least 4.
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In algebraic geometry, the pro ...... blem in dimensions at least 4.
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The lingering perception that ...... ing algebraic geometry course.
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Resolution of singularities
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In algebraic geometry, the pro ...... blem in dimensions at least 4.
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Resolution of singularities
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