Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Period integrals and Hodge modules   We define a map $\mathcal{P}_M$ attached to any polarized Hodge module $M$
such that the restriction of $\mathcal{P}_M$ to a locus on which $M$ is a
variation of Hodge structures induces the usual period integral pairing for
this variation of Hodge structures. In the case that $M$ is the minimal
extension of a simple polarized variation of Hodge structures $V$, we show that
the homotopy image of $\mathcal{P}_M$ is the minimal extension of the graph
morphism of the usual period integral map for $V$.

4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
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The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th