Resumen de The Horrocks-Mumford bundle restricted to planes

Ada Boralevi

• We study the behavior of the HorrocksMumford bundle FHM when restricted to a plane P2 _ P4, looking for all possible minimal free resolutions for the restricted bundle. To each of the 6 resolutions (4 stable and 2 unstable) we find, we then associate a subvariety of the GrassmannianG(2, 4) of planes in P4. We thus obtain a filtration of the Grassmannian, which we describe in the second part of this work