282 citations
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Showing 2018 · math.AGShow all
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math.AG2018
Geometric polarized log Hodge structures with a base of log rank one
Taro Fujisawa, Chikara Nakayama
We prove that a projective vertical exact log smooth morphism of fs log analytic spaces with a base of log rank one yields polarized log Hodge structures in the canonical way.
math.AG2018★ 10 cited
Fundamental properties of basic slc-trivial fibrations, II
Osamu Fujino, Taro Fujisawa, Haidong Liu
We prove that if the moduli -b-divisor of a basic slc-trivial fibration is b-numerically trivial then it is -b-linearly trivial. As a consequence, we prove th…