Some results on finite drinfeld modules

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Abstract

Let K be a global function field, oo a degree one prime divisor of K and let A be the Dedekind domain of functions in K regular outside oo. Let H be the Hubert class field of A, B the integral closure of A in H. Let V be a rank one normalized Drinfeld A -module and let β be a prime ideal in B. We explicitly determine the finite A-moduIe structure of Ψ(B/βN). In particular, if K = Fq(t), q is an odd prime number and Ψ is the Carlitz Fq[t]-module, then the finite Fq[t]-module Ψ(Fq[t]/βN) is always cyclic.

Original languageEnglish
Pages (from-to)1955-1961
Number of pages7
JournalProceedings of the American Mathematical Society
Volume126
Issue number7
Publication statusPublished - 1998 Dec 1

Keywords

  • Drinfeld modules
  • Hubert class field

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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