Lemma 29.41.3 (01W2)—The Stacks project

Processing math: 100%

Table of contents
Part 2: Schemes
Chapter 29: Morphisms of Schemes
Section 29.41: Proper morphisms
Lemma 29.41.3 (cite)

previous lemma
next lemma

numberstags

history
statistics
4 tags refer to this tag

Lemma 29.41.3. Let $f : X \to S$ be a morphism of schemes. The following are equivalent:

The morphism $f$ is proper.
There exists an open covering $S = \bigcup V_ j$ such that $f^{-1}(V_ j) \to V_ j$ is proper for all indices $j$ .

Proof. Omitted. $\square$

Comments (0)

There are also:

3 comment(s) on Section 29.41: Proper morphisms

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