The canonical height of a section of an elliptic scheme over a curve equals the integral of the Betti form over the base, and this measure coincides with the dynamical equidistribution measure.
Beauville, Complex Algebraic Surfaces , London Mathematical Society student texts, Cambridge University Press, 1996
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On the torsion values for sections of an elliptic scheme
The canonical height of a section of an elliptic scheme over a curve equals the integral of the Betti form over the base, and this measure coincides with the dynamical equidistribution measure.