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- W1889774954 abstract "The goal of this article is two-fold: First, to prove a (two-variable) main conjecture for a CM field $F$ without assuming the $p$-ordinary hypothesis of Katz, making use of what we call the Rubin-Stark $mathcal{L}$-restricted Kolyvagin systems which is constructed out of the conjectural Rubin-Stark Euler system of rank $g$. (We are also able to obtain weaker unconditional results in this direction.) Second objective is to prove the Park-Shahabi plus/minus main conjecture for a CM elliptic curve $E$ defined over a general totally real field again using (a twist of the) Rubin-Stark Kolyvagin system. This latter result has consequences towards the Birch and Swinnerton-Dyer conjecture for $E$." @default.
- W1889774954 created "2016-06-24" @default.
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- W1889774954 date "2015-01-07" @default.
- W1889774954 modified "2023-09-27" @default.
- W1889774954 title "On the Iwasawa theory of CM fields for supersingular primes" @default.
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