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arXiv · 1710.07407

Logarithmic Comparison with smooth boundary divisor in Mixed Hodge Modules

Chuanhao Wei
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Abstract

We use filtered log-$\mathscr{D}$-modules to represent the (dual) localization of Saito's Mixed Hodge Modules along a smooth hypersurface, and show that they also behave well under the direct image functor and the dual functor in the derived category of filtered log-$\mathscr{D}$-modules. The results of this paper can be used to generalize the result of M. Popa and C. Schnell about Kodaira dimension and zeros of holomorphic one-forms into the log setting.

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Chuanhao Wei. 2017-10-20. Logarithmic Comparison with smooth boundary divisor in Mixed Hodge Modules. https://arxiv.org/abs/1710.07407

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