4 papers
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 …
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 $…
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…
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…