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math.AG2023
Geometric polarized log Hodge structures for semistable families
Taro Fujisawa, Chikara Nakayama
We prove that a projective semistable morphism of fs log analytic spaces yields polarized log Hodge structures in the canonical way.
math.AG2023
Variation of mixed Hodge structure and its applications
Osamu Fujino, Taro Fujisawa
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, vanishi…