Exercise 111.34.2 (0295)—The Stacks project

Loading web-font TeX/Math/Italic

Exercise 111.34.2. Consider the morphism of schemes

$\pi : X = \mathop{\mathrm{Spec}}(\mathbf{C}[x, t]/(x^2 + t)) \longrightarrow S = \mathop{\mathrm{Spec}}(\mathbf{C}[t]).$

Show there does not exist a nonempty open $U \subset S$ and a morphism $\sigma : U \to X$ such that $\pi \circ \sigma = \text{id}_ U$ .

Comments (0)

There are also:

2 comment(s) on Section 111.34: 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