Titlebook: Basic Structures of Function Field Arithmetic; David Goss Book 1998 Springer-Verlag Berlin Heidelberg 1998 Dimension.Drinfeld module.Grad.

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Additional Topics,In this last section, we will briefly describe . current areas of research into the arithmetic described in the previous nine sections. We emphasize the word “some” as this section is not meant to be considered exhaustive.

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978-3-540-63541-3Springer-Verlag Berlin Heidelberg 1998

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David GossA new and fascinating area of math *.The author is a fundamental contributor to the field *.The first systematic treatment of this subject * Introduces vital areas of current research * Clear expositi

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The Carlitz Module,e, most essential ideas about Drinfeld modules appear in the theory of the Carlitz module. Thus it is an excellent example for the reader to master and keep in mind when reading the more abstract general theory. Our basic reference is [C1], but see also [Go2].

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Sign Normalized Rank 1 Drinfeld Modules, .. This basic construction is due to David Hayes [Ha3] [Ha2]. Thus we will also call them “Hayes-modules.” We will use Hayes-modules to construct a “cyclotomic theory” of function fields. The reader will find much that is familiar in these extensions from classical theory.

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