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.
Bilu, Limit distribution of small points on algebraic tori , Duke Math
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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.