The Carlitz shtuka

Details The Carlitz shtuka The Carlitz shtuka

2010-08-25

arxiv.org/abs/1008.4234v2

J. of Number Theory 131, 2011, No. 3, 410--418

Mathematics

Number Theory

9 pages

Scientific paper

10.1016/j.jnt.2010.09.004

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.

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