Rationally Equivalent Points On Hypersurfaces In ${\mathbb P}^n$

math.AG

/ Authors

/ Abstract

We prove a conjecture of Voisin that no two distinct points on a very general hypersurface of degree $2n$ in ${\mathbb P}^n$ are rationally equivalent.

Rationally Equivalent Points On Hypersurfaces In ${\mathbb P}^n$

math.AG

/ Authors

Xi Chen, James D. Lewis, Mao Sheng

/ Abstract

We prove a conjecture of Voisin that no two distinct points on a very general hypersurface of degree $2n$ in ${\mathbb P}^n$ are rationally equivalent.