Abstract
Let K be a finite extension of Fq(T), L/K be a Galois extension with Galois group G and let E be the subfield of L fixed by the center of G. Assume that there exists a finite place v of K such that the local degrees of E/K above v are bounded. Let ϕ be a Drinfeld module with complex multiplication. We give an effective lower bound for the canonical height of ϕ on L outside the torsion points of ϕ. In the number field case, this problem was solved by F. Amoroso, S. David and U. Zannier in [3].
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