Surjectivity of the adelic Galois representation associated to a Drinfeld module of rank 3

Autor:	Chien-Hua Chen
Rok vydání:	2022
Předmět:	Surjective function Pure mathematics Algebra and Number Theory 010102 general mathematics 010103 numerical & computational mathematics Drinfeld module 0101 mathematics Rank (differential topology) Galois module 01 natural sciences Mathematics
Zdroj:	Journal of Number Theory. 237:99-123
ISSN:	0022-314X
Popis:	In this paper, we prove that the adelic Galois representation ρ φ : Gal ( F q ( T ) sep / F q ( T ) ) ⟶ lim ← a Aut ( φ [ a ] ) ≅ G L 3 ( A ˆ ) associated to the Drinfeld module φ over F q ( T ) of rank 3, φ defined by φ T = T + τ 2 + T q − 1 τ 3 , is surjective.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::935adb7ac2be7ceaf862325f4ff007d2 https://doi.org/10.1016/j.jnt.2020.06.004 Zobrazit plný text záznamu Full Text from ScienceDirect