Jumping pairs of Steiner bundles
| dc.contributor.author | Arrondo Esteban, Enrique | |
| dc.contributor.author | Marchesi, Simone | |
| dc.date.accessioned | 2023-06-19T14:57:58Z | |
| dc.date.available | 2023-06-19T14:57:58Z | |
| dc.date.issued | 2015 | |
| dc.description.abstract | In 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 bundles | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Ministerio de Educación (España) | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/34826 | |
| dc.identifier.doi | 10.1515/forum-2013-0095 | |
| dc.identifier.issn | 0933-7741 | |
| dc.identifier.officialurl | http://www.degruyter.com/view/j/forum.2015.27.issue-6/forum-2013-0095/forum-2013-0095.xml?rskey=rwcVgS&result=2 | |
| dc.identifier.relatedurl | http://arxiv.org/abs/1208.0571v1 | |
| dc.identifier.relatedurl | http://www.degruyter.com/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/34977 | |
| dc.issue.number | 6 | |
| dc.journal.title | Forum Mathematicum | |
| dc.language.iso | eng | |
| dc.page.final | 3267 | |
| dc.page.initial | 3233 | |
| dc.publisher | WALTER DE GRUYTER | |
| dc.relation.projectID | MTM2009-06964 | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 512.7 | |
| dc.subject.keyword | Steiner bundle | |
| dc.subject.keyword | Schwarzenberger bundle | |
| dc.subject.keyword | Grassmannian | |
| dc.subject.ucm | Geometria algebraica | |
| dc.subject.unesco | 1201.01 Geometría Algebraica | |
| dc.title | Jumping pairs of Steiner bundles | |
| dc.type | journal article | |
| dc.volume.number | 27 | |
| dcterms.references | E. 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, 2000 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 5bd88a9c-e3d0-434a-a675-3221b2fde0e4 | |
| relation.isAuthorOfPublication.latestForDiscovery | 5bd88a9c-e3d0-434a-a675-3221b2fde0e4 |
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