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math.AG2024
Heights of complete intersections in toric varieties
Roberto Gualdi, Martín Sombra
The height of a toric variety and that of its hypersurfaces can be expressed in convex-analytic terms as an adelic sum of mixed integrals of their roof functions and duals of their…
math.NT2024
Approximation of adelic divisors and equidistribution of small points
François Ballaÿ, Martín Sombra
We study the asymptotic distribution of the Galois orbits of generic sequences of algebraic points of small height in a projective variety over a number field. Our main result is a…