Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Dimensions of Integral Points and Holomorphic Curves on the
  Complements of Hyperplanes   In this article we completely determine the possible dimensions of integral
points and holomorphic curves on the complement of a union of hyperplanes in
projective space. Our main theorems generalize a result of Evertse and Gyory,
who determined when all sets of integral points (over all number fields) on the
complement of a union of hyperplanes are finite, and a result of Ru, who
determined when all holomorphic maps to the complement of a union of
hyperplanes are constant. The main tools used are the S-unit lemma and its
analytic analogue, Borel's lemma.

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The categories of this paper are: chem-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: stat
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The categories of this paper are: supr-con
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga