SAG: Rationally Inequivalent Points on Generic Hypersurfaces

by Xi Chen (Alberta/Bonn)

Thursday May 22, 2025, 10:30 AM → 12:30 PM Europe/Berlin

MPIM, Vivatsgasse, 7 - Lecture Hall (Max Planck Institute for Mathematics)

For a smooth surface of degree at least 4 in ${\mathbb
P}^3$, Mumford proved that its Chow group of 0-cycles are nontrivial.
As the degree increases, we are expecting the group to become larger
in some sense. Voisin proved that no two distinct points are
rationally equivalent on a very general surface of degree at least 7.
We improved her result to degree 6, which is optimal. This is a joint
work with James D. Lewis and Mao Sheng.