3 papers
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…
astro-ph.GA2018
Heating of Milky Way disc Stars by Dark Matter Fluctuations in Cold Dark Matter and Fuzzy Dark Matter Paradigms
Benjamin V. Church, Jeremiah P. Ostriker, Philip Mocz
Although highly successful on cosmological scales, Cold Dark Matter (CDM) models predict unobserved over-dense `cusps' in dwarf galaxies and overestimate their formation rate. We c…