Special automorphisms on Shimura curves and non-triviality of Heegner points

DOI10.1007/s11425-016-5128-3zbMath1416.11094OpenAlexW2258004128MaRDI QIDQ310209

Li Cai, YongXiong Li, ZhangJie Wang

Publication date: 8 September 2016

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-016-5128-3

zbMATH Keywords

Shimura curvesHeegner pointsBSD conjecture

Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Related Items (3)

Quadratic Twists of Elliptic Curves ⋮ Quadratic twists of \(X_0(14)\) ⋮ Generalized Birch lemma and the 2-part of the Birch and Swinnerton-Dyer conjecture for certain elliptic curves

Cites Work

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• Explicit Gross-Zagier and Waldspurger formulae
• Points de Heegner et dérivées de fonctions L p-adiques. (Heegner points and derivatives of p-adic L-functions)
• Genus periods, genus points and congruent number problem
• Some applications of seesaw duality to branching laws
• The \(p\)-adic Gross-Zagier formula for elliptic curves at supersingular primes
• Congruent numbers and Heegner points
• Diophantine analysis and modular forms
• Local Orders, Root Numbers, and Modular Curves
• On the conjecture of Birch and Swinnerton-Dyer
• Congruent numbers with many prime factors
• Quadratic twists of elliptic curves
• Notes on elliptic curves. II.

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