Iwasawa theory for symmetric powers of CM modular forms at nonordinary primes, II

Robert Harron; Jonathan Pottharst

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arXiv · 1407.4371

Iwasawa theory for symmetric powers of CM modular forms at nonordinary primes, II

Robert Harron·Jonathan Pottharst

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Abstract

Continuing the study of the Iwasawa theory of symmetric powers of CM modular forms at supersingular primes begun by the first author and Antonio Lei, we prove a Main Conjecture equating the "admissible" $p$-adic $L$-functions to characteristic ideals of "finite-slope" Selmer modules constructed by the second author. As a key ingredient, we improve Rubin's result on the Main Conjecture of Iwasawa theory for imaginary quadratic fields to an equality at inert primes.

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BibTeX RIS

Robert Harron, Jonathan Pottharst. 2014-07-16. Iwasawa theory for symmetric powers of CM modular forms at nonordinary primes, II. https://arxiv.org/abs/1407.4371

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