Logarithmic Comparison with smooth boundary divisor in Mixed Hodge Modules

Abstract

We use filtered log-$\mathcal{D}$-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-$\mathcal{D}$-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.

22 pages; to appear on Michigan Mathematical Journal

References in corpus (2)

• Mixed twistor D-modules
• Logarithmic Kodaira dimension and zeros of holomorphic log-one-forms