nLab regular scheme

A regular scheme (X,𝒪 X)(X,\mathcal{O}_X) is an algebraic scheme such that the stalk 𝒪 X,x\mathcal{O}_{X,x} of the structure sheaf 𝒪 X\mathcal{O}_X at any point xXx\in X (as a locally ringed space) is a regular local ring.

Last revised on March 6, 2013 at 19:26:07. See the history of this page for a list of all contributions to it.