The μ-invariant of fine Selmer groups associated to general Drinfeld modules

2025/07/03 by Chen, Hang
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2507.02688

Abstract

Let F be a global function field over the finite field \mathbbF_q where q is a prime power and A be the ring of elements in F regular outside ∞. Let ϕ be an arbitrary Drinfeld module over F For a fixed non-zero prime ideal \mathfrakp of A, we show that on the constant ℤ_p-extension \mathfrakF of F, the Pontryagin dual of the fine Selmer group associated to the \mathfrakp-primary torsion of ϕ over \mathfrakF is a finitely generated Iwasawa module such that its Iwasawa μ-invariant vanishes. This provides a generalization of the results given in arXiv:2311.06499.

Citations

• On Z l -Extensions of Algebraic Number Fields

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