4 papers
Maximal Arboreal Galois Images for Polynomials of Twisted Carlitz Type
Mona Al Batrouni, Chien-Hua Chen
In this paper, we study the arboreal Galois representations for polynomials of twisted Carlitz type, whose first iterated Galois group is linked to the torsion of a twisted Carlitz…
Frobenius Traces for Rank-2 Drinfeld Modules, Higher-Dimensional Galois Representations, and a Strong Multiplicity One Theorem in Positive Characteristic
Chien-Hua Chen
In this paper, we prove that if the Frobenius traces agree at all but finitely many places, then two -adic Galois representations, associated to rank- non-CM Drinfeld modules…
CM Drinfeld Modules, Self-isogenous Modular Polynomials, and Volcano Structure
Chien-Hua Chen
In this paper, we develop a view of self-isogenous modular polynomials and the -cyclic isogeny graph for CM Drinfeld modules of arbitrary rank . On the computation…
Natural density of rank- Drinfeld modules with big Galois image
Chien-Hua Chen
In this paper, we compute the natural density of rank- Drinfeld module over with surjective adelic Galois representation; and the natural density of rank- D…