Section 74.15 (06ES): Properties of morphisms local in the fpqc topology on the source

Loading [MathJax]/extensions/tex2jax.js

74.15 Properties of morphisms local in the fpqc topology on the source

Here are some properties of morphisms that are fpqc local on the source.

Lemma 74.15.1. The property $\mathcal{P}(f)=$“$f$ is flat” is fpqc local on the source.

Proof. Follows from Lemma 74.14.3 using Morphisms of Spaces, Definition 67.30.1 and Descent, Lemma 35.27.1. $\square$

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).

The Stacks project

74.15 Properties of morphisms local in the fpqc topology on the source

Comments (0)

Post a comment