Ample cones of Hilbert schemes of points on hypersurfaces in ${\mathbb{P}}^3$

Neelarnab Raha

Let $X$ be a very general degree $d\ge 5$ hypersurface in ${\mathbb{P}}^3$. We compute the ample cone of the Hilbert scheme $X^{[n]}$ of $n$ points on $X$ for various small values o…