[(32.B), MatCA]

Definition 15.47.1. Let $R$ be a Noetherian ring. Let $X = \mathop{\mathrm{Spec}}(R)$.

1. We say $R$ is J-0 if $\text{Reg}(X)$ contains a nonempty open.

2. We say $R$ is J-1 if $\text{Reg}(X)$ is open.

3. We say $R$ is J-2 if any finite type $R$-algebra is J-1.

There are also:

• 5 comment(s) on Section 15.47: The singular locus

In your comment you can use Markdown and LaTeX style mathematics (enclose it like $\pi$). A preview option is available if you wish to see how it works out (just click on the eye in the toolbar).