Some applications of Grothendieck Duality Theorem
arXiv:1301.0985
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 Kollár's paper, a vanishing theorem due to Kovács and a theorem of Fujino. We remark that all of the above are achieved by the same trick.
This paper has been withdrawn by the author. Portions of this paper are moved to "On isolated log canonical centers", arXiv:1304.4173