e/Resolution of singularities

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has glosseng: In algebraic geometry, the problem of resolution of singularities asks whether every algebraic variety has a non-singular model (a non-singular variety birational to it). 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.
lexicalizationeng: Desingularization
lexicalizationeng: resolution of singularities
instance ofe/Unsolved problems in mathematics
Meaning
Chinese
has glosszho: 在代數幾何學中,奇點解消問題探討代數簇是否有非奇異的模型(即:與之雙有理等價的非奇異代數簇)。在特徵為零的域上,廣中平祐已給出肯定答案,至於正特徵的域,四維以上的情形至今(2007年)未解。
lexicalizationzho: 奇點解消
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media:imgFunctorial Resolution of Singularities.svg

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