The Horrocks-Mumford bundle restricted to planes
代数几何
2013-10-15 v2
摘要
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.
引用
@article{arxiv.math/0602002,
title = {The Horrocks-Mumford bundle restricted to planes},
author = {Ada Boralevi},
journal= {arXiv preprint arXiv:math/0602002},
year = {2013}
}
备注
19 pages, typos removed, added details in Propostions 2.1 and 3.5