# Affine plane over Q diagram

Consists of a scheme $X$, satisfying the following properties:

• $X$ irreducible, quasi-compact, finite dimensional, pure dimension 2, regular, excellent, locally noetherian, affine, dimension 2, integral, reduced, connected, noetherian, cohen-macaulay, all stalks of the structure sheaf are domains
By the theorems, we also have {"X": {"quasi-separated": true, "separated": true}}