Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Logarithmic Comparison with smooth boundary divisor in Mixed Hodge
  Modules   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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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: eess
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex
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The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys