Iwasawa invariants of Bertolini--Darmon Theta Elements

Authors: Abhishek, Jishnu Ray, Pronay Kumar Karmakar

math.NT2026-05v1license

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 Leonard--Lei in the cyclotomic setting.

Cite

@article{arxiv.2605.29783,
  title  = {Iwasawa invariants of Bertolini--Darmon Theta Elements},
  author = {Abhishek and Jishnu Ray and Pronay Kumar Karmakar},
  journal= {arXiv preprint arXiv:2605.29783},
  year   = {2026}
}

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