On the growth of $\mu $-invariant in Iwasawa theory of supersingular elliptic curves

Abstract

We provide a relation between the $\mu $-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.