Iwasawa invariants of Bertolini--Darmon theta elements

Abstract

In this article we study the Iwasawa invariants of Bertolini--Darmon theta elements in the anticyclotomic ${\mathbb{Z}}_p$-extension of an imaginary quadratic field $K$ for weight two modular forms $f\in S_2({\Gamma }_0(N))$. 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 Gajek-Leonard--Lei in the cyclotomic setting.

p inert case has been added