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Local-global problem for Drinfeld modules
Authors:Gert-Jan van der Heiden
Affiliation:Department of Mathematics, University of Groningen, P.O. Box 800, 9700 AV Groningen, Netherlands
Abstract:Let K be a function field with an A-algebra structure. The ring A arises in the definition of the Drinfeld module φ over K. By E(K) we denote K together with the A-module structure induced on it by φ. For any principal prime ideal (a)⊂A, we study the question whether an element xE(K) which is an a-fold in E(Kν) for every place ν of K, is an a-fold in E(K). In particular, we study the group
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Keywords:Drinfeld-modules   Elliptic curves   Local-global principle
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