3 papers
math.AG2026
Low degree points on singular plane curves
Zachary R. Canale, Nathan Chen, Zoe Curewitz +4
The purpose of this paper is to study low degree points on plane curves. We prove results analogous to those of Debarre and Klassen for singular plane curves with a finite number $…
math.AG2025
Subvarieties of low degree on general hypersurfaces
Nathan Chen, David Yang
The purpose of this note is to show that the subvarieties of small degree inside a general hypersurface of large degree come from intersecting with linear spaces or other varieties…
math.AG2025
A primer on measures of irrationality
Nathan Chen, Olivier Martin
Measures of irrationality are a numerical way of quantifying how far a given variety is from being rational (or rationally connected, uniruled, etc.). In the last two decades, ther…