The Horrocks-Mumford bundle restricted to planes

Details The Horrocks-Mumford bundle restricted to planes The Horrocks-Mumford bundle restricted to planes

2006-01-31

arxiv.org/abs/math/0602002v2

Mathematics

Algebraic Geometry

19 pages, typos removed, added details in Propostions 2.1 and 3.5

Scientific paper

We study the behavior of the Horrocks-Mumford bundle when restricted to a plane P^2 in P^4, 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^4. We thus obtain a filtration of the Grassmannian, which we describe in the second part of this work.

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