The height of intersections of two hypersurfaces twisted by torsion points on a toric variety converges to an adelic sum of mixed integrals of roof and Ronkin functions.
Maillot, G´ eom´ etrie d’Arakelov des vari´ et´ es toriques et fibr´ es en droites int´ egrables, M´ em
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Heights of complete intersections in toric varieties
The height of intersections of two hypersurfaces twisted by torsion points on a toric variety converges to an adelic sum of mixed integrals of roof and Ronkin functions.