Local-global problem for Drinfeld modules |
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Authors: | Gert-Jan van der Heiden |
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Affiliation: | Department of Mathematics, University of Groningen, P.O. Box 800, 9700 AV Groningen, Netherlands |
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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 x∈E(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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