On the Hasse principle for Shimura curves
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Publication:836121
DOI10.1007/s11856-009-0053-6zbMath1189.11034arXivmath/0510239OpenAlexW2024188433MaRDI QIDQ836121
Publication date: 31 August 2009
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0510239
Related Items (11)
Pursuing polynomial bounds on torsion ⋮ Local Diophantine properties of Shimura curves and the \(\overline{\mathbb F}_p\)-gonality ⋮ Heegner points and Jochnowitz congruences on Shimura curves ⋮ Rational points on Atkin-Lehner quotients of geometrically hyperelliptic Shimura curves ⋮ Points on Shimura curves rational over imaginary quadratic fields in the non-split case ⋮ The least degree of a CM point on a modular curve ⋮ Hasse principle violations for Atkin-Lehner twists of Shimura curves ⋮ On the indices of curves over local fields ⋮ A combinatorial Li-Yau inequality and rational points on curves ⋮ RATIONAL POINTS ON SHIMURA CURVES AND THE MANIN OBSTRUCTION ⋮ Local diophantine properties of modular curves of 𝒟-elliptic sheaves
Cites Work
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- Shimura coverings of Shimura curves and the Manin obstruction
- Arithmetic Fuchsian groups of genus zero.
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- Integral models of certain Shimura curves
- Descent on certain Shimura curves
- On the indices of curves over local fields
- On maps between modular Jacobians and Jacobians of Shimura curves
- A linear lower bound on the gonality of modular curves
- Bielliptic Curves and Symmetric Products
- Local Bounds for Torsion Points on Abelian Varieties
- Points on Shimura curves rational over number fields.
- Shimura Subgroups of Jacobians of Shimura Curves
- Hyperelliptic modular curves
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