2 papers
math.AG2023
An alternative proof of the Faltings-Elkies bound
Robert Wilms
We give an alternative proof of the Faltings-Elkies bound on the average value of the Arakelov-Green function in pairs of a given set of points on a Riemann surface, which grow…
math.NT2022
Height coincidences in products of the projective line
Niki Myrto Mavraki, Harry Schmidt, Robert Wilms
We consider hypersurfaces in that contain a generic sequence of small dynamical height with respect to a split map and project onto coordinates. We show th…