4 papers
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…
Lower bounds for Seshadri constants via successive minima of line bundles
François Ballaÿ
Given a nef and big line bundle on a projective variety of dimension , we prove that the Seshadri constant of at a very general point is larger than $(d+1)^{\…
Arithmetic Okounkov bodies and positivity of adelic Cartier divisors
François Ballaÿ
In algebraic geometry, theorems of Küronya and Lozovanu characterize the ampleness and the nefness of a Cartier divisor on a projective variety in terms of the shapes of its associ…
Successive minima and asymptotic slopes in Arakelov Geometry
François Ballaÿ
Let be a normal and geometrically integral projective variety over a global field and let be an adelic Cartier divisor on . We prove a conjecture of Chen,…