Automorphisms and reduction of Heegner points on Shimura curves at Cerednik-Drinfeld primes

DOI10.1090/S0002-9939-2013-11772-7zbMath1306.11049MaRDI QIDQ5398113

Victor Rotger, Santiago Molina

Publication date: 26 February 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Shimura curveAtkin-Lehner involutionHeegner pointCherednik-Drinfeld prime

Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35)

Uses Software

• Magma

Cites Work

• Non-elliptic Shimura curves of genus one
• Arithmétique des algèbres de quaternions
• The Magma algebra system. I: The user language
• Ribet bimodules and the specialization of Heegner points
• The subconvexity problem for Rankin-Selberg \(L\)-functions and equidistribution of Heegner points
• Reduction modulo P of Shimura curves
• Construction of class fields and zeta functions of algebraic curves
• Equations of hyperelliptic Shimura curves
• On the non-existence of exceptional automorphisms on Shimura curves
• Über die Automorphismengruppe von \(X_0(N)\)
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