Definition:Local Krull Dimension of Scheme

Definition
Let $(X, \mathcal O_X)$ be a scheme.

Let $x\in X$.

The local Krull dimension at $x$ is the local dimension of $X$ at $x$.

Also see

 * Definition:Krull Dimension of Scheme
 * Definition:Dimension of Scheme
 * Definition:Local Relative Dimension of Scheme