Research Project:
Critical Slope Gross-Zagier formula and Perrin-Riou's Conjecture

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EC.00097

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Büyükboduk, Kazım
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Anticyclotomic p-ordinary Iwasawa theory of elliptic modular forms
(De Gruyter, 2018) Büyükboduk, Kazım; Lei, Antonio; Department of Mathematics; Yes; College of Sciences
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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