Stark-Heegner points on elliptic curves defined over imaginary quadratic fields

DOI10.1215/S0012-7094-06-13531-7zbMath1111.14025MaRDI QIDQ860110

Mak Trifković

Publication date: 23 January 2007

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves over global fields (11G05) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Complex multiplication and moduli of abelian varieties (11G15) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Class field theory (11R37)

Related Items (9)

Darmon points on elliptic curves over number fields of arbitrary signature ⋮ Parabolic eigenvarieties via overconvergent cohomology ⋮ Rationality of Darmon points over genus fields of non-maximal orders ⋮ Lifting modular symbols of non-critical slope ⋮ Stark–Heegner cycles attached to Bianchi modular forms ⋮ Explicit computations of Hida families via overconvergent modular symbols ⋮ Stark-Heegner points and the cohomology of quaternionic Shimura varieties ⋮ Exceptional zeros and $\mathcal {L}$-invariants of Bianchi modular forms ⋮ Computing 𝑝-adic periods of abelian varieties from automorphic forms

Cites Work

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• FINITENESS OF $ E(\mathbf{Q})$ AND $ \textrm{Ø}(E,\mathbf{Q})$ FOR A SUBCLASS OF WEIL CURVES
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• Heights of Heegner points on Shimura curves.
• Integration on \({\mathcal H_p}\times\mathcal H\) and arithmetic applications.

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