Finding endomorphisms of Drinfeld modules
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Date
2022-03
Publication Type
Journal Article
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yes
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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.
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published
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Volume
232
Pages / Article No.
118 - 154
Publisher
Elsevier
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Software
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Subject
Drinfeld modules; Function fields; Computational number theory