Abstract
We define a notion of adelic Euler systems for $\mathbb{G}_m$ over arbitrary number fields and prove that all such systems over $\mathbb{Q}$ are cyclotomic in nature. We deduce that all Euler systems for $\mathbb{G}_m$ over $\mathbb{Q}$ are cyclotomic, as has been conjectured by Coleman, if and only if they validate an analogue of Leopoldt's Conjecture.
Citation
David Burns. Alexandre Daoud. "Adelic Euler systems for $\mathbb{G}_m$." Tohoku Math. J. (2) 75 (3) 329 - 346, 2023. https://doi.org/10.2748/tmj.20220111
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