Arrondo Esteban, EnriqueMarchesi, Simone2023-06-192023-06-192015E. Arbarello, M. Cornalba, P.A. Griffiths, and J. Harris. Geometry of Algebraic Curves, Volume I. SpringerVerlag, 1985. V. Ancona and G. Ottaviani. Unstable hyperplanes for Steiner bundles and multidimensional matrices. Adv. Geom., 1:165–192, 2001. E. Arrondo. Schwarzenberger bundles of arbitrary rank on the projective space. J. of Lond. Math. Soc., 82:697–716, 2010. I. Dolgachev and M. Kapranov. Arrangements of hyperplanes and vector bundles on P n. Duke Math. J., 71(3):633–664, 1993. S. Marchesi. Jumping spaces in Steiner bundles. PhD thesis, Università degli Studi di Milano, Universidad Complutense de Madrid, 2012. R.M. Miró-Roig and H. Soares. Cohomological characterisation of Steiner bundles. Forum math., 21:871–891, 2009. R.L.E Schwarzenberger. Vector bundles on the projective plane. Proc. London Math. Soc., 11:633–640, 1961. J. Vallès. Fibrés de Schwarzenberger et fibrés logarithmiques généralisés. Bull. Soc. Math. France, 28:433–449, 2000. J. Vallès. Nombre maximal d’hyperplans instables pour un fibré de Steiner. Math. Z., 233:507–514, 20000933-774110.1515/forum-2013-0095https://hdl.handle.net/20.500.14352/34977In this work we introduce the definition of Schwarzenberger bundle on a Grassmannian. Recalling the notion of Steiner bundle, we generalize the concept of jumping pair for a Steiner bundle on a Grassmannian. After studying the jumping locus variety and bounding its dimension, we give a complete classification of Steiner bundles with jumping locus of maximal dimension, which all are Schwarzenberger bundlesengjournal articlehttp://www.degruyter.com/view/j/forum.2015.27.issue-6/forum-2013-0095/forum-2013-0095.xml?rskey=rwcVgS&result=2http://arxiv.org/abs/1208.0571v1http://www.degruyter.com/open access512.7Steiner bundleSchwarzenberger bundleGrassmannianGeometria algebraica1201.01 Geometría Algebraica