singular set


The singular set of a variety X is the set of singular pointsMathworldPlanetmathPlanetmathPlanetmath. This is a proper subvariety. A subvariety Y of X is contained in the singular set if and only if its local ringMathworldPlanetmath 𝒪Y is not regular (http://planetmath.org/RegularLocalRing).

Title singular set
Canonical name SingularSet
Date of creation 2013-03-22 13:20:17
Last modified on 2013-03-22 13:20:17
Owner mathcam (2727)
Last modified by mathcam (2727)
Numerical id 7
Author mathcam (2727)
Entry type Definition
Classification msc 14A15