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Masser-Wüstholz bound for reducibility of Galois representations for Drinfeld modules of arbitrary rank
Chien-Hua Chen
In this paper, we give an explicit bound on the irreducibility of mod- Galois representation for Drinfeld modules of arbitrary rank without complex multiplication. Th…
On singular moduli for higher rank Drinfeld modules
Chien-Hua Chen
In this paper, we generalize Dorman's work to estimate singular moduli for higher rank Drinfeld modules. In particular, we give a lower bound on the valuation of singular moduli fo…
Surjectivity of the adelic Galois Representation associated to a Drinfeld Module of prime rank
Chien-Hua Chen
In this paper, let be the Drinfeld module over of prime rank defined by We prove that under certain condition on $\mathbb{…
Exceptional cases of adelic surjectivity for Drinfeld modules of rank 2
Chien-Hua Chen
In this paper, we study the surjectivity of adelic Galois representation associated to Drinfeld -modules over of rank in the cases when i…
An explicit bound on reducibility of mod Galois image for Drinfeld modules of arbitrary rank and its application on the uniformity problem
Chien-Hua Chen
Suppose we are given a Drinfeld Module over of rank and a prime ideal of . In this paper, we prove that the reducibility o…
Galois criterion for torsion points of Drinfeld modules
Chien-Hua Chen
In this paper, we formulate the Drinfeld module analogue of a question raised by Lang and studied by Katz on the existence of rational points on abelian varieties over number field…