Rappresentazioni di quivers e fibrati vettoriali omogenei su varietà di bandiera
The Horrocks-Mumford bundle restricted to planes.
We study the behavior of the Horrocks-Mumford bundle F when restricted to a plane P ⊂ P, 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 Grassmannian G(2,4) of planes in P. We thus obtain a filtration of the Grassmannian, which we describe in the second part of this work.
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