Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometric Bogomolov conjecture for nowhere degenerate abelian varieties
  of dimension $5$ with trivial trace   We prove that the geometric Bogomolov conjecture holds for nowhere degenerate
abelian varieties of dimension $5$ with trivial trace. By this result together
with our previous work, we see that the conjecture holds for an abelian variety
such that the difference between the dimension of its maximal nowhere
degenerate abelian subvariety and that of its trace equals $5$.

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The categories of this paper are: hep-ex
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The categories of this paper are: stat
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The categories of this paper are: cmp-lg
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: q-bio
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The categories of this paper are: physics
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The categories of this paper are: hep-lat
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The categories of this paper are: patt-sol
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The categories of this paper are: econ