The Horrocks-Mumford bundle restricted to planes.

Boralevi, Ada. "The Horrocks-Mumford bundle restricted to planes.." Collectanea Mathematica 58.1 (2007): 101-117. <http://eudml.org/doc/41799>.

@article{Boralevi2007,
abstract = {We study the behavior of the Horrocks-Mumford bundle FHM 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 G(2,4) of planes in P4. We thus obtain a filtration of the Grassmannian, which we describe in the second part of this work.},
author = {Boralevi, Ada},
journal = {Collectanea Mathematica},
keywords = {Geometría algebraica; Haces vectoriales; Espacio de moduli; vector bundle; syzygies; moduli space; jumping lines and planes; Shioda modular surface},
language = {eng},
number = {1},
pages = {101-117},
title = {The Horrocks-Mumford bundle restricted to planes.},
url = {http://eudml.org/doc/41799},
volume = {58},
year = {2007},
}

TY - JOUR
AU - Boralevi, Ada
TI - The Horrocks-Mumford bundle restricted to planes.
JO - Collectanea Mathematica
PY - 2007
VL - 58
IS - 1
SP - 101
EP - 117
AB - We study the behavior of the Horrocks-Mumford bundle FHM 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 G(2,4) of planes in P4. We thus obtain a filtration of the Grassmannian, which we describe in the second part of this work.
LA - eng
KW - Geometría algebraica; Haces vectoriales; Espacio de moduli; vector bundle; syzygies; moduli space; jumping lines and planes; Shioda modular surface
UR - http://eudml.org/doc/41799
ER -