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Variation of mixed Hodge structure and its applications (2304.00672v3)
Published 3 Apr 2023 in math.AG and math.CV
Abstract: We discuss variations of mixed Hodge structure arising from projective morphisms of complex analytic spaces. Then we treat generalizations of Koll\'ar'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.