Remark 111.36.8. If $U \to X$ is a quasi-compact immersion then any quasi-coherent sheaf on $U$ is the restriction of a quasi-coherent sheaf on $X$. If $X$ is a Noetherian scheme, and $U \subset X$ is open, then any coherent sheaf on $U$ is the restriction of a coherent sheaf on $X$. Of course the exercise above is easier, and shouldn't use these general facts.
Post a comment
Your email address will not be published.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).
All contributions are licensed under the GNU Free Documentation License.
Comments (0)