PlanetMath: singular set

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singular set

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The singular set of a variety is the set of singular points. This is a proper subvariety. A subvariety of is contained in the singular set if and only if its local ring $\mathcal{O}_Y$ is not regular.

"singular set" is owned by mathcam. [ full author list (2) | owner history (1) ]

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Cross-references: local ring, contained, subvariety, singular points, variety
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This is version 4 of singular set, born on 2002-12-27, modified 2006-10-25.
Object id is 3852, canonical name is SingularSet.
Accessed 1851 times total.

Classification:

14A15 (Algebraic geometry :: Foundations :: Schemes and morphisms)

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