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arXiv · 2412.10980

On Anticyclotomic Iwasawa Theory of Hecke Characters at Ordinary Primes

Erman Isik
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Abstract

In this article we study the Iwasawa theory for Hecke characters associated with CM abelian varieties and Hilbert modular forms at ordinary primes. We formulate and prove a result concerning the anticyclotomic Iwasawa main conjecture for CM Hilbert modular forms. Additionally, we obtain a result towards the study of the Mordell-Weil ranks of the CM abelian varieties.

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Erman Isik. 2024-12-14. On Anticyclotomic Iwasawa Theory of Hecke Characters at Ordinary Primes. https://arxiv.org/abs/2412.10980

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