normal variety

Let $X$ be a variety. $X$ is said to be normal at a point $p\in X$ if the local ring ${𝒪}_p$ is integrally closed. $X$ is said to be normal if it is normal at every point. If $X$ is non-singular at $p$, it is normal at $p$, since regular local rings 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