The vanishing of anticyclotomic μ-invariants for non-ordinary modular forms

2021/08/12 by Hatley, Jeffrey, Lei, Antonio
#11F11 (primary) #11R20 (secondary) #11R23 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2108.05958

Abstract

Let K be an imaginary quadratic field where p splits. We study signed Selmer groups for non-ordinary modular forms over the anticyclotomic Z_p-extension of K, showing that their μ-invariants vanish. This generalizes and gives a new proof of a recent result of Matar on the vanishing of the μ-invariants of plus and minus signed Selmer groups for elliptic curves.

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