RT Journal Article T1 Schwarzenberger bundles of arbitrary rank on the projective space A1 Arrondo Esteban, Enrique AB 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 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. PB Oxford University Press SN 0024-6107 YR 2010 FD 2010 LK https://hdl.handle.net/20.500.14352/42086 UL https://hdl.handle.net/20.500.14352/42086 LA eng NO Ministerio de Educación (España) NO Universidad Complutense de Madrid NO Comunidad de Madrid DS Docta Complutense RD 7 jun 2025