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Logarithmic Comparison with smooth boundary divisor in Mixed Hodge Modules

2017/10/20 by Wei, Chuanhao
#14C30 #14D06 #14D07 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1710.07407

Abstract

We use filtered log-\mathscrD-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-\mathscrD-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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