论文标题
$μ\ neq 0 $时，关于基达公式的一些评论
Some remarks on Kida's formula when $μ\neq 0$
论文作者
论文摘要
经典伊瓦沙瓦理论中的基达公式与$ p $ extensions of数字字段的iWasawa $λ$ -Invariants相关联。随后，该公式的类似物是针对适当的$μ= 0 $假设建立了Selmer组的Iwasawa $λ$ invariants。在本文中，我们给出了一个概念（但猜想）的解释，即当$μ\ neq 0 $时，这种公式也应达到。猜想的组件来自所谓的$ \ mathfrak {m} _h（g）$ - 在非共同的伊沃萨理论中的猜想。
The Kida's formula in classical Iwasawa theory relates the Iwasawa $λ$-invariants of $p$-extensions of number fields. Analogue of this formula was subsequently established for the Iwasawa $λ$-invariants of Selmer groups under an appropriate $μ=0$ assumption. In this paper, we give a conceptual (but conjectural) explanation that such a formula should also hold when $μ\neq 0$. The conjectural component comes from the so-called $\mathfrak{M}_H(G)$-conjecture in noncommutative Iwasawa theory.
