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Eisenstein Degeneration Connecting Beilinson-Kato Elements and Circular Units

In p-adic families passing through the critical-slope p-stabilization of an Eisenstein series attached to two Dirichlet characters, establishes an explicit connection between the Beilinson-Kato Euler system and the system of circular units via factorization formulas in a regime where several p-adic L-functions vanish, giving an Euler-system form of the Bellaiche-Dasgupta factorization formula whose behavior depends on the parities of the two characters.