Horrocks–Mumford bundle

By computing Chern classes one sees that the second exterior power $\wedge^2 F$ of the Horrocks–Mumford bundle F is the line bundle O(5) on P4. Therefore the zero set V of a general section of this bundle is a quintic threefold called a Horrocks–Mumford quintic. Such a V has exactly 100 nodes; there exists a small resolution V′ which is a Calabi–Yau threefold fibered by Horrocks–Mumford surfaces.