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Jun 17, 2015 at 15:12 vote accept Li Yutong
Jun 16, 2015 at 19:54 comment added Li Yutong Thank you so much for your answer! I curious why they can not sheafify? In "Foundations of Grothendieck Duality for Diagrams of Schemes", they can work with "quasi-proper" morphism instead of proper morphism (See Cor 4.3.6 Page 174). It seems that the only property they use is that for such morphism, $Rf_*$ sends coherent complexes to coherent complexes. Is this some obstacle prevents the sheafification?
Jun 16, 2015 at 17:42 history answered Count Dracula CC BY-SA 3.0