The Galois representations associated to a Drinfeld module in special characteristic - I: Zariski density

JOURNAL OF NUMBER THEORY

卷:116

Article

Pink, R

关键词: Drinfeld modules;    t-motives;    Galois groups;   

DOI  :  10.1016/j.jnt.2005.04.010

来源: Elsevier

【 摘 要 】

Let phi be a Drinfeld A-module of rank r over a finitely generated field K. Assume that phi has special characteristic p(0) and consider any prime p not equal p(0) of A. If End K(sep) (phi) =A, we prove that the image of Gal(K(sep)/K) in its representation on the p-adic Tate module of phi is Zariski dense in GL(r). (c) 2005 Elsevier Inc. All rights reserved.

【 授权许可】

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