Rational torsion points on Jacobians of Shimura curves

DOI10.1112/blms/bdv097zbMath1410.14021arXiv1502.07370OpenAlexW2963675873MaRDI QIDQ2788665

Hwajong Yoo

Publication date: 22 February 2016

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.07370

zbMATH Keywords

isogenyShimura curvestorsion points

Mathematics Subject Classification ID

Rational points (14G05) Abelian varieties of dimension (> 1) (11G10) Jacobians, Prym varieties (14H40) Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35)

Related Items (2)

On Ribet’s isogeny for $J_0(65)$ ⋮ Galois extensions and a conjecture of Ogg

Cites Work

• The index of an Eisenstein ideal and multiplicity one
• Shimura coverings of Shimura curves and the Manin obstruction
• Modular curves and the Eisenstein ideal
• Integral models of certain Shimura curves
• On modular representations of \(\text{Gal}(\overline{\mathbb Q}/\mathbb Q)\) arising from modular forms
• Eisenstein ideals and the rational torsion subgroups of modular Jacobian varieties. II.
• Good reduction of abelian varieties
• Spécialisation du foncteur de Picard
• Diophantine equations and modular forms
• Galois Action on Division Points of Abelian Varieties with Real Multiplications
• On the rational cuspidal subgroup and the rational torsion points of $J_0(pq)$
• Unnamed Item

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