The Carlitz shtuka
Number Theory
2011-07-12 v2
Abstract
Recently we have used the Carlitz exponential map to define a finitely generated submodule of the Carlitz module having the right properties to be a function field analogue of the group of units in a number field. Similarly, we constructed a finite module analogous to the class group of a number field. In this short note more algebraic constructions of these "unit" and "class" modules are given and they are related to Ext modules in the category of shtukas.
Keywords
Cite
@article{arxiv.1008.4234,
title = {The Carlitz shtuka},
author = {Lenny Taelman},
journal= {arXiv preprint arXiv:1008.4234},
year = {2011}
}
Comments
9 pages