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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.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.AG2022
Fano hypersurfaces with no finite order birational automorphisms
Nathan Chen, Lena Ji, David Stapleton
We use the specialization homomorphism for the birational automorphism group to study finite order birational automorphisms. For a family of varieties over a DVR, we prove that a b…