Archivio Istituzionale della RicercaWe study the behavior of the Horrocks-Mumford bundle when restricted to a plane P^2 ⊂ 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.
The Horrocks-Mumford bundle restricted to planes / Boralevi, Ada. - In: COLLECTANEA MATHEMATICA. - ISSN 0010-0757. - 58:1(2007), pp. 101-117.
The Horrocks-Mumford bundle restricted to planes
BORALEVI, ADA
2007
Abstract
We study the behavior of the Horrocks-Mumford bundle when restricted to a plane P^2 ⊂ 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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https://hdl.handle.net/11583/2674263
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