23 citations · 57 across the 35 of their papers we have counts for
41 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, Martín 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 induce…
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…
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…
Limit heights and special values of the Riemann zeta function
Roberto Gualdi, Martín Sombra
We study the distribution of the height of the intersection between the projective line defined by the linear polynomial and its translate by a torsion point. W…
A note on the determinant 308 in Proskuryakov's linear algebra book
Antonio J. Di Scala, Martin Sombra
We put in evidence and correct a mistake in the formula for the determinant 308 in Proskuryakov's linear algebra book. We apply this formula to reprove the well-known fact that the…