Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Eisenstein ideal and Jacquet-Langlands isogeny over function fields   Let $\frak{p}$ and $\frak{q}$ be two distinct prime ideals of
$\mathbb{F}_q[T]$. We use the Eisenstein ideal of the Hecke algebra of the
Drinfeld modular curve $X_0(\frak{p}\frak{q})$ to compare the rational torsion
subgroup of the Jacobian $J_0(\frak{p}\frak{q})$ with its subgroup generated by
the cuspidal divisors, and to produce explicit examples of Jacquet-Langlands
isogenies. Our results are stronger than what is currently known about the
analogues of these problems over $\mathbb{Q}$.

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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: math-ph
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The categories of this paper are: physics
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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: acc-phys