Exercise 111.33.13. Give an example of a morphism of integral schemes $f : X \to Y$ such that the induced maps ${\mathcal O}_{Y, f(x)} \to {\mathcal O}_{X, x}$ are surjective for all $x\in X$, but $f$ is not a closed immersion.
Exercise 111.33.13. Give an example of a morphism of integral schemes $f : X \to Y$ such that the induced maps ${\mathcal O}_{Y, f(x)} \to {\mathcal O}_{X, x}$ are surjective for all $x\in X$, but $f$ is not a closed immersion.
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