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词汇 Resolution of singularities
分类 英语词汇 英语翻译词典
释义

Resolution of singularities

中文百科

奇点解消

在代数几何学中,奇点解消问题探讨代数簇是否有非奇异的模型(即:与之双有理等价的非奇异代数簇)。在特征为零的域上,广中平祐已给出肯定答案,至于正特征的域,四维以上的情形至今(2007年)未解。

英语百科

Resolution of singularities 奇点解消

Whitney umbrella
Conical singularity x2 + y2 = z2

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 WV. For varieties over fields of characteristic 0 this was proved in Hironaka (1964), while for varieties over fields of characteristic p it is an open problem in dimensions at least 4.

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