Some applications of Grothendieck Duality Theorem
Abstract
In this paper, we systematically apply Grothendieck duality theorem to simplify the proofs of several theorems in different papers: Including a vanishing theorem in KMM, a theorem of Koll\'ar's paper, a vanishing theorem due to Kov\'acs and a theorem of Fujino. We remark that all of the above are achieved by the same trick.
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