Schwarzenberger bundles of arbitary rank on the projective space

Details Schwarzenberger bundles of arbitary rank on the projective space Schwarzenberger bundles of arbitary rank on the projective space

2008-07-10

arxiv.org/abs/0807.1645v3

Mathematics

Algebraic Geometry

v3 is the submitted version of the paper. It differs from v2 in the correction of some typos, the reconstruction of the proof

Scientific paper

We introduce a generalized notion of Schwarzenberger bundle on the projective space. Associated to this more general definition, we give an ad-hoc notion of jumping subspaces of a Steiner bundle on ${\Bbb P^n}$ (which in rank $n$ coincides with the notion of unstable hyperplane introduced by Vall\`es, Ancona and Ottaviani). For the set of jumping hyperplanes, we find a sharp bound for its dimension. We also classify those Steiner bundles whose set of jumping hyperplanes have maximal dimension and prove that they are generalized Schwarzenberger bundles.

Affiliated with

Also associated with

No associations

Rating

Schwarzenberger bundles of arbitary rank on the projective space does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Schwarzenberger bundles of arbitary rank on the projective space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Schwarzenberger bundles of arbitary rank on the projective space will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-459635