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arXiv · 0807.1645

Schwarzenberger bundles of arbitary rank on the projective space

Enrique Arrondo
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Abstract

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 Vallès, 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.

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Enrique Arrondo. 2008-10-10. Schwarzenberger bundles of arbitary rank on the projective space. https://arxiv.org/abs/0807.1645

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