Exceptional cases of adelic surjectivity for Drinfeld modules of rank 2

2021/08/28 by Chen, Chien-Hua
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2108.12656

Abstract

In this paper, we study the surjectivity of adelic Galois representation associated to Drinfeld \mathbbF_q[T]-modules over \mathbbF_q(T) of rank 2 in the cases when q is even or q=3.

Related

• Surjectivity of the adelic Galois Representation associated to a Drinfeld Module of prime rank
• A class of Drinfeld A-modules of rank 3 with surjective Galois representations
• Adelic Openness for Drinfeld Modules in Special Characteristic
• Natural density of rank-2 Drinfeld modules with big Galois image
• Galois representations are surjective for almost all Drinfeld modules