3 papers
math.NT2025
Cyclic Cubic Points on Higher Genus Curves
James Rawson
The distribution of degree points on curves is well understood, especially for low degrees. We refine this study to include information on the Galois group in the simplest inte…
math.NT2025
Some Obstructions to Solvable Points on Higher Genus Curves
James Rawson
It is known that for a curve defined over of genus , there exists a point on the curve defined over a solvable extension of . We relate points on…
math.NT2025
Density of algebraic points on products of curves
Jennifer Berg, Yu Fu, Evangelia Gazaki +3
In this paper, we initiate the systematic study of density of algebraic points on surfaces. We give an effective asymptotic range in which the density degree set has regular behavi…