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We study the variation of Iwasawa invariants of the anticyclotomic Selmergroups of congruent modular forms under the Heegner hypothesis. In particular,we show that even if the Selmer groups we study may have positive coranks, themu-invariant vanishes for one modular form if and only if it vanishes for theother, and that their lambda-invariants are related by an explicit formula.This generalizes results of Greenberg-Vatsal for the cyclotomic extension, aswell as results of Pollack-Weston and Castella-Kim-Longo for the anticyclotomicextension when the Selmer groups in question are cotorsion.

Comparing anticyclotomic Selmer groups of positive coranks for congruent modular forms