Singularities of generic projection hypersurfaces
Speaker: Takumi Murayama, Princeton
Abstract: Classically, it is known that every finitely generated field over an algebraically closed field is the function field of a hypersurface in some projective space. Using generic linear projections, one can show that this hypersurface can be taken to have at worst nodal singularities in dimension one, or at worst ordinary singularities in dimension two. We present a generalization of these results to dimensions up to five, in which case the relevant class of singularities is that which appears on degenerations of smooth varieties in moduli theory. This result is due to Doherty over the complex numbers, and is joint with Rankeya Datta in positive characteristic.
Room Reservation Information
Room Number: 106 McAllister
Time: 11:00am - 11:50am