Loading [MathJax]/extensions/tex2jax.js

The Stacks project

Lemma 35.23.25. The property $\mathcal{P}(f) =$“$f$ is locally of finite type of relative dimension $d$” is fpqc local on the base.

Proof. This follows immediately from the fact that being locally of finite type is fpqc local on the base and Morphisms, Lemma 29.28.3. $\square$

Comments (0)

There are also:

  • 2 comment(s) on Section 35.23: Properties of morphisms local in the fpqc topology on the target

Your email address will not be published. Required fields are marked.

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).

Unfortunately JavaScript is disabled in your browser, so the comment preview function will not work.

All contributions are licensed under the GNU Free Documentation License.


View Lemma 35.23.25 as pdf