Schwarzenberger bundles of arbitrary rank on the projective space
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Autores: Enrique Arrondo
- Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 82, Nº 3, 2010, págs. 697-716
- Idioma: inglés
- DOI: 10.1112/jlms/jdq056
- Enlaces
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Resumen
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 Pn (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.
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