Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: GV-subschemes and their embeddings in principally polarized abelian
  varieties   We prove that the embedding of a $GV$-subscheme in a principally polarized
abelian variety does not factor through any nontrivial isogeny. As an
application, we present a new proof of a theorem of Clemens--Griffiths
identifying the intermediate Jacobian of a smooth cubic threefold in
$\mathbf{P}^4$ to the Albanese variety of its Fano surface of lines.

23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
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The categories of this paper are: stat
5
The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-lat
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
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The categories of this paper are: supr-con
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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th