A remark on the codimension of the Green-Griffiths locus of generic projective hypersurfaces of high degree

Simone Diverio, Stefano Trapani

We show that for every smooth generic projective hypersurface $X\subset {\mathbb{P}}^{n+1}$, there exists a proper subvariety $Y⊊X$ such that ${\mathrm{codim}}_{X}Y\ge 2$…