Lemma 88.12.6 (0GG6)—The Stacks project

Processing math: 100%

Table of contents
Part 5: Topics in Geometry
Chapter 88: Algebraization of Formal Spaces
Section 88.12: Finite type on reductions
Lemma 88.12.6 (cite)

previous lemma
next lemma

numberstags

history
statistics

Lemma 88.12.6. Let $\varphi : A \to B$ be an arrow of $\textit{WAdm}^{Noeth}$ . If $\varphi$ is adic the following are equivalent

$\varphi$ satisfies the condition defined in Lemma 88.12.1 and
$\varphi$ satisfies the condition defined in Lemma 88.11.1.

Proof. Omitted. Hint: For the proof of (1) $\Rightarrow$ (2) use Lemma 88.12.5. $\square$

Comments (0)

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).

Comments (0)

Post a comment