The refined class number formula for Drinfeld modules
Number Theory
2025-12-10 v2
Abstract
Let be a finite Galois extension of global function fields. Let be a Drinfeld module over . We state and prove an equivariant refinement of Taelman's analogue of the analytic class number formula for , and derive explicit consequences for the Galois structure of the Taelman class group of over .
Keywords
Cite
@article{arxiv.2309.17256,
title = {The refined class number formula for Drinfeld modules},
author = {María Inés de Frutos-Fernández and Daniel Macias Castillo and Daniel Martínez Marqués},
journal= {arXiv preprint arXiv:2309.17256},
year = {2025}
}
Comments
Final version, to appear in Compositio Mathematica. 53 pages