Abstract:We investigate a question of Burns and Sano concerning the structure of the module of Euler systems for general p-adic representations. Assuming the weak Leopoldt conjecture, and the vanishing of µ-invariants of natural Iwasawa modules, we obtain an Iwasawa-theoretic classification criterion for Euler systems which can be used to study this module. This criterion, taken together with Coleman's conjecture on circular distributions, leads us to pose a refinement of the aforementioned question for which we provid… Show more
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