✦ LIBER ✦

The Galois representations associated to a Drinfeld module in special characteristic—III: Image of the group ring

✍ Scribed by Richard Pink; Matthias Traulsen

Publisher: Elsevier Science
Year: 2006
Tongue: English
Weight: 253 KB
Volume: 116
Category: Article
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2005.04.012

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

The Galois representations associated to

The Galois representations associated to a Drinfeld module in special characteristic—II: Openness

✍ Richard Pink 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 297 KB

## Let be a Drinfeld A-module in special characteristic p 0 over a finitely generated field K. For any finite set P of primes p = p 0 of A let P denote the image of Gal(K sep /K) in its representation on the product of the p-adic Tate modules of for all p ∈ P . We determine P up to commensurabilit

The Galois representations associated to

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

✍ Richard Pink 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 269 KB

## Let be a Drinfeld A-module of rank r over a finitely generated field K. Assume that has special characteristic p 0 and consider any prime p = p 0 of A. If End K sep ( ) = A, we prove that the image of Gal(K sep /K) in its representation on the p-adic Tate module of is Zariski dense in GL r .