On μ-invariants and isogenies for abelian varieties over function fields

We give several formulas for how Iwasawa μ-invariants of abelian varieties over unramified Zₚ-extensions of function fields change under isogeny. These are analogues of Schneider's formula in the number field setting. We also prove that the validity of the Birch--Swinnerton-Dyer conjecture (including the leading coefficient formula) over function fields is invariant under isogeny, without using the result of Kato--Trihan.