Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Explicit Manin-Dem'janenko theorem in elliptic curves   Let C be a curve of genus at least 2 imbedded in a product of elliptic
curves. We give an explicit upper bound for the points in the intersection of C
with the union of all algebraic subgroups of a certain codimension. As a
corollary we obtain an explicit upper bound for the height of the rational
points for some families of curves and an explicit version of the
Manin-Dem'janenko method in products of elliptic curves

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The categories of this paper are: cmp-lg
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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: math-ph
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The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: stat
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: plasm-ph