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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★ 1 cited
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…