The refined class number formula for Drinfeld modules

Compositio Mathematica 2026 Open access

Read full text
Authors: María Inés de Frutos-Fernández, Daniel Macias Castillo, Daniel Martínez Marqués
DOI: 10.1017/s0010437x26103108
Cited by: 0
References: 41

Abstract

Abstract Let upper K divided by k K / k $K/k$ be a finite Galois extension of global function fields. Let E be a Drinfeld module over k . We state and prove an equivariant refinement of Taelman’s analogue of the analytic class number formula for left parenthesis upper E comma upper K divided by k right parenthesis ( E , K / k ) $(E,K/k)$ , and derive explicit consequences for the Galois structure of the Taelman class group of E over K .

Fields of Study & Subjects

Algebraic Geometry and Number Theory Commutative Algebra and Its Applications Polynomial and algebraic computation

Publication details

Journal / source
Compositio Mathematica
Publisher
Cambridge University Press (CUP)
Volume
162
Issue
4
Pages
852–903
Publication date
1 April 2026
Language
EN