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Euler systems for self-dual Hecke characters over biquadratic fields with applications

Do, Kim Tuan
arXiv (All) · Papers
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11g05number-theory
We construct a new Euler system attached to a self-dual Hecke character $χ$ over an imaginary biquadratic field $K_0$. The Euler system is anticyclotomic in the sense of Jetchev--Neková{\v r}--Skinner. As arithmetic applications, we deduce instances of the Bloch--Kato conjecture in analytic ranks $0
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