Abstract:We provide comparison results for anticyclotomic [Formula: see text]-adic [Formula: see text]-functions attached to Hida families of modular forms. The main result is a comparison between the anticyclotomic restriction of the three variable [Formula: see text]-adic [Formula: see text]-function introduced by Skinner and Urban, and the anticyclotomic [Formula: see text]-function constructed by means of [Formula: see text]-adic families of Gross points in the setting of definite quaternion algebras. Several auxil… Show more
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