Exercise 110.40.2. General facts.

1. Show that an invertible ${\mathcal O}_ X$-module on a scheme $X$ is quasi-coherent.

2. Suppose $X\to Y$ is a morphism of locally ringed spaces, and ${\mathcal L}$ an invertible ${\mathcal O}_ Y$-module. Show that $f^\ast {\mathcal L}$ is an invertible ${\mathcal O}_ X$ module.

There are also:

• 2 comment(s) on Section 110.40: Invertible sheaves

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).