Loading [MathJax]/extensions/tex2jax.js

The Stacks project

Lemma 28.26.12. Let $X$ be a scheme. Let $S$ be a graded ring. Assume $X$ is quasi-compact, and assume there exists an open immersion

\[ j : X \longrightarrow Y = \text{Proj}(S). \]

Then $j^*\mathcal{O}_ Y(d)$ is an invertible ample sheaf for some $d > 0$.

Proof. This is Constructions, Lemma 27.10.6. $\square$


Comments (0)

There are also:

  • 5 comment(s) on Section 28.26: Ample invertible sheaves

Your email address will not be published.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.