A Dirichlet unit theorem for Drinfeld modules |
| |
| Authors: | Lenny Taelman |
| |
| Affiliation: | (1) Department of Mathematics and Computer Science, University of Lethbridge, 4401 University Drive, Lethbridge, AB, Canada, T1K3M4;(2) Department of Mathematics, Hylan Building, University of Rochester, Rochester, NY 14627, USA |
| |
| Abstract: | ![]()
We show that the module of integral points on a Drinfeld module satisfies an analogue of Dirichlet’s unit theorem, despite its failure to be finitely generated. As a consequence, we obtain a construction of a canonical finitely generated sub-module of the module of integral points. We use the results to give a precise formulation of a conjectural analogue of the class number formula. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
