Martı́n Sombra

Approximation of adelic divisors and equidistribution of small points

Abstract 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 generalization of Yuan’s equidistribution theorem that applies to heights for which Zhang’...

Heights of complete intersections in toric varieties

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 Ronkin functions. Here we extend these results to the 2 -codimensional situation by presenting a li...