Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Algebraic points on Shimura curves of $\Gamma_0(p)$-type   In this article, we classify the characters associated to algebraic points on
Shimura curves of $\Gamma_0(p)$-type, and over a quadratic field we show that
there are at most elliptic points on such a Shimura curve for every
sufficiently large prime number $p$. This is an analogue of the study of
rational points or points over a quadratic field on the modular curve $X_0(p)$
by Mazur and one of the author (Momose). We also apply the result to a
finiteness conjecture on abelian varieties with constrained prime power torsion
by Rasmussen-Tamagawa.

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The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
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The categories of this paper are: funct-an
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The categories of this paper are: adap-org
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The categories of this paper are: physics
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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: chem-ph
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The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: patt-sol
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The categories of this paper are: q-bio
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The categories of this paper are: nlin
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The categories of this paper are: math-ph