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Derived Beilinson–Flach elements and the arithmetic of the adjoint of a modular form

Derived Beilinson–Flach elements and the arithmetic of the adjoint of a modular form

Kings, Lei, Loeffler and Zerbes constructed in [LLZ], [KLZ1] a three-variable Euler system \kappa(\textbf{g},\textbf{h}) of Beilinson–Flach elements associated to a pair of Hida families (\textbf{g},\textbf{h}) and exploited it to obtain applications to the arithmetic of elliptic curves, extending the earlier work [BDR]. The aim of this article is to show …