Let $f : X \to Y$ be a morphism of noetherian $k$-schemes. Under what condition is the functor $f^* : \textbf{Coh}\ Y \to \textbf{Coh} \ X$ exact on locally free finite rank sheaves?
2026-03-25 09:38:51.1774431531
Is the inverse image exact on locally free sheaves?
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