Iwasawa invariants of Bertolini--Darmon Theta Elements

Abstract

In this article we study the Iwasawa invariants of Bertolini--Darmon theta elements in the anticyclotomic Zp-extension of an imaginary quadratic field K for weight two modular forms f∈ S2(Γ0(N)). We cover both the cases of ordinary and non-ordinary reduction at a prime p. Our results extend the known results of Pollack--Weston and Leonard--Lei in the cyclotomic setting.

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