Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bounds for Curves in Abelian Varieties   A uniform bound of intersection multiplicities of curves and divisors on
abelian varieties is proved by algebraic geometric methods. It extends and
improves a result obtained by A. Buium with a different method based on
Kolchin's differential algebra. The problem is modeled after the abc-Conjecture
of Masser-Oesterle for abelian varieties over the function field of a curve. As
an application a finiteness theorem is proved for maps from a curve into an
abelian variety omitting an ample divisor.

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The categories of this paper are: eess
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex