Lemma 31.9.2 (0C3E)—The Stacks project

Loading web-font TeX/Math/Italic

Table of contents
Part 2: Schemes
Chapter 31: Divisors
Section 31.9: Fitting ideals
Lemma 31.9.2 (cite)

previous lemma
next lemma

numberstags

history
statistics
3 tags refer to this tag

Lemma 31.9.2. Let $S$ be a scheme. Let $\mathcal{F}$ be a finitely presented $\mathcal{O}_ S$ -module. Then $\text{Fit}_ r(\mathcal{F})$ is a quasi-coherent ideal of finite type.

Proof. Follows immediately from More on Algebra, Lemma 15.8.4 part (4). $\square$

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