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Galois characters arising from Drinfeld modules

✍ Scribed by Seunghwan Chang; Yoonjin Lee

Book ID
118250663
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
174 KB
Volume
133
Category
Article
ISSN
0022-314X

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πŸ“œ SIMILAR VOLUMES

The Galois representations associated to
The Galois representations associated to a Drinfeld module in special characteristicβ€”II: Openness
✍ Richard Pink πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 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 characteristicβ€”I: Zariski density
✍ Richard Pink πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 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 .