Benjamin Church

collaborators

2 papers

math.AG2026

Curves on complete intersections and measures of irrationality

Nathan Chen, Benjamin Church, Junyan Zhao

We study the minimal degrees and gonalities of curves on complete intersections. We prove that the degree of any curve on a general complete intersection $X \subseteq P^{N}$ …

math.NT2025

Quadratic points on double planes

Nathan Chen, Ben Church, Hector Pasten +1

Zariski dense collections of quadratic points on curves $X$ are well-understood by results of Harris--Silverman and Vojta, but when $dim X \geq 2$ there is not an analogous geomet…