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Date
2022-03Type
- Journal Article
Abstract
We give an effective algorithm to determine the endomorphism ring of a Drinfeld module, both over its field of definition and over a separable or algebraic closure thereof. Using previous results we deduce an effective description of the image of the adelic Galois representation associated to the Drinfeld module, up to commensurability. We also give an effective algorithm to decide whether two Drinfeld modules are isogenous, again both over their field of definition and over a separable or algebraic closure thereof. Questions of efficiency are left completely out of consideration. Show more
Publication status
publishedExternal links
Journal / series
Journal of Number TheoryVolume
Pages / Article No.
Publisher
ElsevierSubject
Drinfeld modules; Function fields; Computational number theoryMore
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