We study the behavior of the Horrocks-Mumford bundle FH M 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 Grassmannian double-struck G sign(2,4) of planes in ℙ4. 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, A.. - In: COLLECTANEA MATHEMATICA. - ISSN 0010-0757. - 58:1(2007), pp. 101-117.
The Horrocks-Mumford bundle restricted to planes
Boralevi, A.
2007-01-01
Abstract
We study the behavior of the Horrocks-Mumford bundle FH M 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 Grassmannian double-struck G sign(2,4) of planes in ℙ4. We thus obtain a filtration of the Grassmannian, which we describe in the second part of this work.File in questo prodotto:
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