The vanishing of anticyclotomic $\mu$-invariants for non-ordinary modular forms

Abstract: Let

K

be an imaginary quadratic field where

p

splits. We study signed Selmer groups for non-ordinary modular forms over the anticyclotomic

m a t h b f Z_{p}

-extension of

K

, showing that their

m u

-invariants vanish. This generalizes and gives a new proof of a recent result of Matar on the vanishing of the

m u

-invariants of plus and minus signed Selmer groups for elliptic curves.

This page was built for publication: The vanishing of anticyclotomic $\mu$-invariants for non-ordinary modular forms