Abstract
In this section, we begin discussing Drinfeld modules, our basic objects of study. Drinfeld modules are generalizations of the Carlitz module of our last section. Moreover, most of the salient features of Drinfeld modules are seen on the Carlitz module. Among these are: 1. The “lattice” F r [T]ξ; 2. The exponential of F r [T]ξ (= the Carlitz exponential e C (x)); 3. The multiplication law of e C (x) (= the Carlitz module C); 4. The algebraicity of C and its reductions to fields of “finite” characteristic; and 5. The action of F r [T] on rational points via C.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1998 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Goss, D. (1998). Drinfeld Modules. In: Basic Structures of Function Field Arithmetic. Ergebnisse der Mathematik und ihrer Grenzgebeite. 3. Folge, vol 35. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61480-4_4
Download citation
DOI: https://doi.org/10.1007/978-3-642-61480-4_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-63541-3
Online ISBN: 978-3-642-61480-4
eBook Packages: Springer Book Archive