If $\mathcal{F}$ is coherent, and $\mathcal{G}$ is quasicoherent, $Hom(\mathcal{F}, \mathcal{G})$ is quasicoherent. In the standard proof of this, I am not sure where coherence is applied (it seems only necessary that $\mathcal{F}$ is finitely presented). Where is quasicoherence used in the proof of this, or is it only necessary for the sheaf to be finitely presented?
2026-04-12 21:47:58.1776030478
When is $Hom(F,G)$ quasicoherent?
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