Modular Invariant of Rank 1 Drinfeld Modules and Class Field Generation
arXiv:2009.11750
Abstract
The modular invariant of rank 1 Drinfeld modules is introduced and used to formulate and prove an exact analog of the Weber-Fueter theorem for global function fields. The main ingredient in the proof is a version of Shimura's Main Theorem of Complex Multiplication for global function fields, which is also proved here.
20 pages. arXiv admin note: text overlap with arXiv:1709.05337