Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cousin groups and Hodge structures   We consider the geometric properties of Hodge Cousin groups, introduced in an
unpublished paper \cite{OVV}, emphasizing the case of Hodge Cousin groups
corresponding to polarized $\mathbb{Q}$-Hodge structures. Basing on this
consideration, we introduce the class of abelian Cousin groups and prove an
analogue of Poincar\'e complete reducibility theorem for them.

24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat