Iwasawa theory for $$\mathrm {GL}_2\times \mathrm {Res}_{K/\mathbb {Q}}\mathrm {GL}_1$$

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 auxiliary results involving anticyclotomic [Formula: see text]-adic [Formula: see text]-functions introduced by Chida-Hsieh and Büyükboduk–Lei are also proved.

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Iwasawa theory for $$\mathrm {GL}_2\times \mathrm {Res}_{K/\mathbb {Q}}\mathrm {GL}_1$$

Cited by 2 publications

References 35 publications

Main conjectures for higher rank nearly ordinary families – I

Main conjectures for higher rank nearly ordinary families – I

An explicit comparison of anticyclotomic p-adic L-functions for Hida families

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