3 papers
math.NT2025
Quadratic points on double planes
Nathan Chen, Ben Church, Hector Pasten +1
Zariski dense collections of quadratic points on curves are well-understood by results of Harris--Silverman and Vojta, but when there is not an analogous geomet…
math.AG2023
The fibering genus of Fano hypersurfaces
Nathan Chen, Benjamin Church, Lena Ji +1
Kollár proved that a very general -dimensional complex hypersurface of degree at least is not birational to a fibration in rational curves. This is most…
math.AG2023
Nowhere vanishing holomorphic one-forms and fibrations over abelian varieties
Nathan Chen, Benjamin Church, Feng Hao
A result of Popa and Schnell shows that any holomorphic 1-form on a smooth complex projective variety of general type admits zeros. More generally, given a variety which admits…