Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two results on the Hodge structure of complex tori   We prove two results regarding Hodge structures appearing in the cohomology
of complex tori. First, we prove that if a polarizable Hodge structure appears
in the cohomology of a complex torus $T$, it appears in the cohomology of an
abelian variety isomorphic to a subquotient of $T$. Second, we prove a
universality result for the Kuga-Satake construction applied to Hodge
structures of $K3$ type that might not be polarized.

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The categories of this paper are: hep-th
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: eess
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ