Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A description of monodromic mixed Hodge modules   For a smooth algebraic variety $X$, a monodromic $D$-module on $X\times
\mathbb{C}$ is decomposed into a direct sum of some $D$-modules on $X$. We show
that the Hodge filtration of a mixed Hodge module on $X\times \mathbb{C}$ whose
underlying $D$-module is monodromic is also decomposed. Moreover, we show that
there is an equivalence of categories between the category of monodromic mixed
Hodge modules on $X\times \mathbb{C}$ and the category of ``gluing data''. As
an application, we endow the Fourier-Laplace transformation of the underlying
$D$-module of a monodromic mixed Hodge module with a mixed Hodge module
structure.

12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph