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Finding Endomorphisms of Drinfeld modules
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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.
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Computing endomorphism rings and Frobenius matrices of Drinfeld modules
The Frobenius index of a Drinfeld module is characterized by maximal monic polynomials evaluated at Frobenius, yielding an efficient algorithm for the endomorphism ring and an explicit Frobenius matrix.
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