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arXiv:math/0509224 [math.AG]AbstractReferencesReviewsResources

Lagrangian fibrations on Hilbert schemes of points on K3 surfaces

Justin Sawon

Published 2005-09-09, updated 2005-10-07Version 3

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.

Comments: 21 pages, original (stronger) version of Theorem 2 proved
Journal: J. Algebraic Geom. 16 (2007), no. 3, 477-497
Categories: math.AG
Subjects: 53C26, 14D06, 14J28, 14J60
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