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arXiv · 1602.07508

Anticyclotomic p-ordinary Iwasawa Theory of Elliptic Modular Forms

Kazim Büyükboduk·Antonio Lei
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Abstract

This is the first in a series of articles where we will study the Iwasawa theory of an elliptic modular form f along the anticyclotomic Zp-tower of an imaginary quadratic field K where the prime p splits completely. Our goal in this portion is to prove the Iwasawa main conjecture for suitable twists of f assuming that f is p-ordinary, both in the definite and indefinite setups simultaneously, via an analysis of Beilinson-Flach elements.

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Kazim Büyükboduk, Antonio Lei. 2016-02-24. Anticyclotomic p-ordinary Iwasawa Theory of Elliptic Modular Forms. https://arxiv.org/abs/1602.07508

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