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arxiv: 1301.0985 · v4 · pith:CBYOARCLnew · submitted 2013-01-06 · 🧮 math.AG

Some applications of Grothendieck Duality Theorem

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keywords theoremdualitygrothendieckvanishingaboveachievedapplicationsapply
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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\'{a}r's paper, a vanishing theorem due to Kov\'{a}cs and a theorem of Fujino. We remark that all of the above are achieved by the same trick.

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