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Exceptional cases of adelic surjectivity for Drinfeld modules of rank 2

Volume 202 / 2022

Chien-Hua Chen Acta Arithmetica 202 (2022), 361-377 MSC: 11G09, 11R32, 11R37, 11R58, 11R60. DOI: 10.4064/aa210405-23-11 Published online: 10 March 2022

Abstract

We study the surjectivity of the adelic Galois representation associated to Drinfeld $\mathbb {F}_q[T]$-modules over $\mathbb {F}_q(T)$ of rank 2 when $q$ is even or $q=3$.

Authors

  • Chien-Hua ChenDepartment of Mathematics
    Pennsylvania State University
    University Park, PA 16802, U.S.A.
    e-mail

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