3 papers
math.NT2024
Rational points on del Pezzo surfaces of low degree
Jakob Glas, Leonhard Hochfilzer
We give upper bounds for the number of rational points of bounded anti-canonical height on del Pezzo surfaces of degree at most five over any global field whose characteristic is n…
math.NT2023
Complete intersections of cubic and quadric hypersurfaces over
Jakob Glas
Using a two-dimensional version of the delta method, we establish an asymptotic formula for the number of rational points of bounded height on non-singular complete intersections o…
math.NT2022
On a question of Davenport and diagonal cubic forms over
Jakob Glas, Leonhard Hochfilzer
Given a non-singular diagonal cubic hypersurface over with , we show that the number of rational po…