4 papers
Closing the gap around the essential minimum of height functions with linear programming
José Burgos Gil, Ricardo Menares, Binggang Qu +1
For many common height functions, it is notoriously hard to compute the essential minimum. Nevertheless there are two classical methods, one giving lower bounds and the other givin…
Kähler-Einstein toric submanifolds of the projective space
Antonio J. Di Scala, MartÃn Sombra
We show that the Kähler-Einstein metrics on the four families of examples of symmetric toric Fano manifolds presented by Batyrev and Selivanova cannot be realized as metrics induc…
Approximation of adelic divisors and equidistribution of small points
François Ballaÿ, MartÃn 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…
Heights of complete intersections in toric varieties
Roberto Gualdi, MartÃn 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…