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arXiv · 2304.00672

Variation of mixed Hodge structure and its applications

Osamu Fujino·Taro Fujisawa
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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.

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Osamu Fujino, Taro Fujisawa. 2023-04-03. Variation of mixed Hodge structure and its applications. https://arxiv.org/abs/2304.00672

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