Variation of mixed Hodge structure and its applications
arXiv:2304.00672
Abstract
We discuss variations of mixed Hodge structure arising from projective morphisms of complex analytic spaces. Then we treat generalizations of Kollár's torsion-free theorem, vanishing theorem, and so on, for reducible complex analytic spaces as an application. The results will play a crucial role in the theory of minimal models for projective morphisms between complex analytic spaces.
36 pages, v2: major revision, v3: major revision following referee's comments