We study the Selmer group associated to a p-ordinary newform $f\in S_{2r}({\mathrm{\Gamma }}_0(N))$ over the anticyclotomic ${\mathbb{Z}}_p$-extension of an imaginary quadratic field $K/\mathbb{Q}$. Under certain assumptions, we prove that this Selmer group has no proper Λ-submodules of finite index. This generalizes work of Bertolini in the elliptic curve case. We also offer both a correction and an improvement to an earlier result on Iwasawa invariants of congruent modular forms by the present authors. Along the way, we prove a general result on the vanishing of several anticyclotomic μ-invariants attached to f.

中文翻译：

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比较全等模形式的正 coranks 的反循环 Selmer 组——第二部分

我们研究与p-普通新形式相关的 Selmer 群$F\in {秒}_{2r}({\mathrm{\Gamma }}_0(N))$ 在反循环学上 ${\mathbb{Z}}_{磷}$- 虚二次域的扩展 $钾/\mathbb{问}$. 在某些假设下，我们证明了这个 Selmer 群没有合适的有限指数的 Λ-子模。这概括了 Bertolini 在椭圆曲线情况下的工作。我们还对本文作者对一致模形式的 Iwasawa 不变量的早期结果进行了修正和改进。在此过程中，我们证明了附加到f的几个反圆μ 不变量消失的一般结果。