they were learning descent theory. 'arbitrary quasi-coherent sheaves of modules' . the sheaves $\mathcal{F}_j$ glue to a quasi-coherent sheaf $\mathcal{F}$ . hint: diagonal
explanation $pr_Y : Y \times_Z X \rightarrow Y$ but the morphism (f,1) : $Y \times_Z X$ is étale
$p_1^{*} \mathcal{F} \rightarrow p_2^{*} \mathcal{F}$
the mistake was the telescope.
explanation $pr_Y : Y \times_Z X \rightarrow Y$ but the morphism (f,1) : $Y \times_Z X$ is étale
$p_1^{*} \mathcal{F} \rightarrow p_2^{*} \mathcal{F}$
the mistake was the telescope.
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