# normal variety

Let $X$ be a variety. $X$ is said to be normal at a point $p\in X$ if the local ring $\mathcal{O}_{p}$ 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 NormalVariety 2013-03-22 13:20:28 2013-03-22 13:20:28 mathcam (2727) mathcam (2727) 5 mathcam (2727) Definition msc 14M05