Euler systems for modular forms over imaginary quadratic fields. (English) Zbl 1376.11050
Summary: We construct an Euler system attached to a weight 2 modular form twisted by a Grössencharacter of an imaginary quadratic field \(K\), and apply this to bounding Selmer groups.
MSC:
11F85 | \(p\)-adic theory, local fields |
11F67 | Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols |
11G40 | \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture |
14G35 | Modular and Shimura varieties |
References:
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