A Lower Bound for the Canonical Height Associated to a Drinfeld Module

Denis associated to each Drinfeld module ϕover a global function field La canonical height function $\hat h_\phi$, which plays a role analogous to that of the Néron–Tate height in the context of elliptic curves. We prove that there exists a constant ε>0, depending only on the number of places at which ϕhas bad reduction, such that either x∈ϕ(L) is a torsion point of bounded order, or else $\hat h_...