Category:Definitions/Schemes

This category contains definitions related to Schemes.
Related results can be found in Category:Schemes.

Let $\struct {X, \OO_X}$ be a locally ringed space.

Let $\struct {X, \OO_X}$ be such that:

every point $x \in X$ has an open neighborhood $U_x$ such that:

the restriction of $\struct {X, \OO_X}$ to $U_x$ is an affine scheme.

Then $\struct {X, \OO_X}$ is called a scheme.