Arrondo Esteban, Enrique2023-06-202023-06-2020100024-6107http://dx.doi.org10.1112/jlms/jdq056https://hdl.handle.net/20.500.14352/42086We 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 P(n) (which in rank n coincides with the notion of unstable hyperplane introduced by Valles, 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.engjournal articlehttp://jlms.oxfordjournals.org/content/82/3/697.full.pdf+htmlrestricted access512.7Vector-bundlesHyperplanesCurvesGeometria algebraica1201.01 Geometría Algebraica