Singular point of an algebraic variety

（重定向自Singular set）

In the mathematical field of algebraic geometry, a singular point of an algebraic variety V is a point P that is 'special' (so, singular), in the geometric sense that at this point the tangent space at the variety may not be regularly defined. In case of varieties defined over the reals, this notion generalizes the notion of non-local flatness. A point of an algebraic variety which is not singular is said to be regular. An algebraic variety which has no singular point is said to be non singular or smooth.

单词	Singular set
释义	Singular set 原声例句 TED演讲（视频版）当月精选 We're talking about tens of millions of peopleunited around a singular set of ideas. 我们谈论的是数以千万计的人团结在一套单一的想法周围。英语百科 Singular point of an algebraic variety （重定向自Singular set） In the mathematical field of algebraic geometry, a singular point of an algebraic variety V is a point P that is 'special' (so, singular), in the geometric sense that at this point the tangent space at the variety may not be regularly defined. In case of varieties defined over the reals, this notion generalizes the notion of non-local flatness. A point of an algebraic variety which is not singular is said to be regular. An algebraic variety which has no singular point is said to be non singular or smooth.
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