Lagrangian fibrations on Hilbert schemes of points on K3 surfaces
Abstract
Description
Let $\mathrm{Hilb}^gS$ be the Hilbert scheme of $g$ points on a K3 surface $S$. Suppose that $\mathrm{Pic}S\cong\Z C$ where $C$ is a smooth curve with $C^2=2(g-1)n^2$. We prove that $\mathrm{Hilb}^gS$ is a Lagrangian fibration.
21 pages, original (stronger) version of Theorem 2 proved
21 pages, original (stronger) version of Theorem 2 proved