On the Iwasawa main conjectures for modular forms at non-ordinary primes

23 Aug 2018 Castella Francesc Çiperiani Mirela Skinner Christopher Sprung Florian

In this paper, we prove under mild hypotheses the Iwasawa main conjectures of Lei--Loeffler--Zerbes for modular forms of weight $2$ at non-ordinary primes. Our proof is based on the study of the two-variable analogues of these conjectures formulated by B\"uy\"ukboduk--Lei for imaginary quadratic fields in which $p$ splits, and on anticyclotomic Iwasawa theory... (read more)

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