scientific article; zbMATH DE number 2145122

zbMath1173.11328MaRDI QIDQ4657450

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Publication date: 14 March 2005

Full work available at URL: http://www.msri.org/communications/books/Book49/

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zbMATH Keywords

\(p\)-adic periods and Stark-Heegner pointsClassical Heegner pointsComplex periods and Heegner pointsHeegner points and \(p\)-adic integrationHeegner points and integrationPeriods of Hilbert modular forms

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) (p)-adic theory, local fields (11F85) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

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The rationality of Stark-Heegner points over genus fields of real quadratic fields ⋮ Modular \(p\)-adic \(L\)-functions attached to real quadratic fields and arithmetic applications ⋮ Hida families and rational points on elliptic curves ⋮ Report on the Birch and Swinnerton-Dyer conjecture ⋮ \(\mathcal L\)-invariants and Darmon cycles attached to modular forms ⋮ The Riemann hypothesis for period polynomials of Hilbert modular forms ⋮ A Birch and Swinnerton-Dyer conjecture for the Mazur-Tate circle pairing ⋮ Stark-Heegner points and the cohomology of quaternionic Shimura varieties

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