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

2014/07/16 by Harron, Robert, Pottharst, Jonathan · 1 citation
#11F67 #11F80 #11R23 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1407.4371

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.

Cited by

• Congruences of p-adic L-functions of modular forms at non-ordinary primes

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