Iwasawa invariants of Bertolini--Darmon Theta Elements
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866916059460665344 |
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| author | Abhishek Ray, Jishnu Karmakar, Pronay Kumar |
| author_facet | Abhishek Ray, Jishnu Karmakar, Pronay Kumar |
| contents | 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 $f\in S_2(Γ_0(N))$. 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_29783 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Iwasawa invariants of Bertolini--Darmon Theta Elements Abhishek Ray, Jishnu Karmakar, Pronay Kumar Number Theory 11R23, 11G05, 11R20 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 $f\in S_2(Γ_0(N))$. 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. |
| title | Iwasawa invariants of Bertolini--Darmon Theta Elements |
| topic | Number Theory 11R23, 11G05, 11R20 |
| url | https://arxiv.org/abs/2605.29783 |