Galois Representations Over Fields of Moduli and Rational Points on Shimura Curves

DOI10.4153/CJM-2013-020-3zbMath1300.11070OpenAlexW2323118044MaRDI QIDQ2922907

Victor Rotger, Carlos de Vera-Piquero

Publication date: 15 October 2014

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-2013-020-3

zbMATH Keywords

rational pointsShimura curvesGalois representationsHasse principleBrauer-Manin obstruction

Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18)

Related Items (8)

Mumford curves covering 𝑝-adic Shimura curves and their fundamental domains ⋮ 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 ⋮ Rational points on Atkin-Lehner quotients of Shimura curves of discriminant \(p q\) ⋮ Non-existence of points rational over number fields on Shimura curves ⋮ The Shimura covering of a Shimura curve: automorphisms and étale subcoverings ⋮ RATIONAL POINTS ON SHIMURA CURVES AND THE MANIN OBSTRUCTION ⋮ Surface abéliennes à multiplication quaternionique munie d'une structure de niveau Γ₀(N)

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