Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The transcendental lattice of the sextic Fermat surface   We prove that the integral polarized Hodge structure on the transcendental
lattice of a sextic Fermat surface is decomposable. This disproves a conjecture
of Kulikov related to a Hodge theoretic approach to proving the irrationality
of the very general cubic fourfold.

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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
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The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg