Resolution Of Singularities

(Singularity Theory)

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Singularity Theory since 2008
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What is 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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algebraic geometryconditiondifficultyproblemsingularity theoryunsolved problems in mathematic


DesingularisationDesingularizationHironaka theoremHironaka's theorem


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