Iwasawa invariants of Bertolini--Darmon Theta Elements
Number Theory
2026-05-29 v1
Abstract
In this article we study the Iwasawa invariants of Bertolini--Darmon theta elements in the anticyclotomic -extension of an imaginary quadratic field for weight two modular forms . We cover both the cases of ordinary and non-ordinary reduction at a prime . Our results extend the known results of Pollack--Weston and Leonard--Lei in the cyclotomic setting.
Keywords
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}
}