normal variety

Let X be a varietyMathworldPlanetmathPlanetmath. X is said to be normal at a point pX if the local ringMathworldPlanetmath 𝒪p is integrally closedMathworldPlanetmath. X is said to be normal if it is normal at every point. If X is non-singularPlanetmathPlanetmath at p, it is normal at p, since regular local ringsMathworldPlanetmath are integrally closed.

Title normal variety
Canonical name NormalVariety
Date of creation 2013-03-22 13:20:28
Last modified on 2013-03-22 13:20:28
Owner mathcam (2727)
Last modified by mathcam (2727)
Numerical id 5
Author mathcam (2727)
Entry type Definition
Classification msc 14M05