论文标题

关于伊瓦沙瓦的$ $ $ $ invariant的增长

On the growth of $μ$-invariant in Iwasawa theory of supersingular Elliptic curves

论文作者

Ray, Jishnu

论文摘要

在本文中,当我们从循环元素$ \ mathbb {z} _p $ - extension上升到$ \ mathbb {z} _p $ \ mathbb {z} _p {z} _p^2 $ teastension coperiartion five yimy quadric five时。此外,我们表明,超级$ \ mathfrak {m} _h(g)$ - 猜想等同于$μ$ $ invariants在我们上塔时不会改变。

In this article, we provide a relation between the $μ$-invariants of the dual plus and minus Selmer groups for supersingular elliptic curves when we ascend from the cyclotomic $\mathbb{Z}_p$-extension to a $\mathbb{Z}_p^2$-extension over an imaginary quadratic field. Furthermore we show that the supersingular $\mathfrak{M}_H(G)$-conjecture is equivalent to the fact that the $μ$-invariants doesn't change as we go up the tower.

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