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On semipositivity theorems. (English) Zbl 1439.32038

Summary: We generalize the Fujita-Zucker-Kawamata semipositivity theorem from the analytic viewpoint.

MSC:

32G20 Period matrices, variation of Hodge structure; degenerations
14F17 Vanishing theorems in algebraic geometry
32U25 Lelong numbers
14D07 Variation of Hodge structures (algebro-geometric aspects)
14C30 Transcendental methods, Hodge theory (algebro-geometric aspects)