Exercise 111.33.16. Give an example of a scheme $V$ which is integral 1-dimensional scheme of finite type over ${\mathbf Q}$ such that $\mathop{\mathrm{Spec}}({\mathbf C}) \times _{\mathop{\mathrm{Spec}}({\mathbf Q})} V$ is not integral.
Exercise 111.33.16. Give an example of a scheme $V$ which is integral 1-dimensional scheme of finite type over ${\mathbf Q}$ such that $\mathop{\mathrm{Spec}}({\mathbf C}) \times _{\mathop{\mathrm{Spec}}({\mathbf Q})} V$ is not integral.
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