= Singular point of an algebraic variety
{wiki=Singular_point_of_an_algebraic_variety}
A singular point of an algebraic variety is a point where the variety is not well-behaved in terms of its geometric structure. More formally, a point \\( P \\) on an algebraic variety \\( V \\) defined by a set of polynomial equations is termed a singular point if the local behavior of the variety at that point exhibits some form of "singularity," meaning that it fails to meet certain smoothness conditions.
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