Vector bundles on G(1,4) without intermediate cohomology
| dc.contributor.author | Arrondo Esteban, Enrique | |
| dc.contributor.author | Graña Otero, Beatriz | |
| dc.date.accessioned | 2023-06-20T16:49:56Z | |
| dc.date.available | 2023-06-20T16:49:56Z | |
| dc.date.issued | 1999 | |
| dc.description.abstract | It is a famous result due to G. Horrocks [Proc. Lond. Math. Soc. (3) 14, 689-713 (1964; Zbl 0126.16801)] that line bundles on a projective space are the only indecomposable vector bundles without intermediate cohomology. This fact generalizes to quadric and grassmannians if we add cohomological conditions. In this paper the case of G(1, 4) is studied completely, and a characterization-classification of vector bundles on it without intermediate cohomology is obtained. | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | FALSE | |
| dc.description.sponsorship | DGICYT | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/14838 | |
| dc.identifier.doi | 10.1006/jabr.1998.7700 | |
| dc.identifier.issn | 0021-8693 | |
| dc.identifier.officialurl | http://www.sciencedirect.com/science/article/pii/S0021869398977006 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/57170 | |
| dc.issue.number | 1 | |
| dc.journal.title | Journal of Algebra | |
| dc.language.iso | eng | |
| dc.page.final | 142 | |
| dc.page.initial | 128 | |
| dc.publisher | Academic Press | |
| dc.relation.projectID | Grant PB96-0659 | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 512.7 | |
| dc.subject.keyword | Cohen_Macaulay modules | |
| dc.subject.keyword | hypersurface singularities | |
| dc.subject.ucm | Geometria algebraica | |
| dc.subject.unesco | 1201.01 Geometría Algebraica | |
| dc.title | Vector bundles on G(1,4) without intermediate cohomology | |
| dc.type | journal article | |
| dc.volume.number | 214 | |
| dcterms.references | wACx E. Arrondo and L. Costa, Vector bundles on Fano 3-folds without intermediate cohomology, preprint, 1998. wASx E. Arrondo and I. Sols, On congruences of lines in the projective space, M´em. Soc. Math. France 50 �1992.. wBGSx R. O. Buchweitz, G. M. Greuel, and F. O. Schreyer, Cohen]Macaulay modules on hypersurface singularities, II, In¨ent. Math. 88 �1987., 165]182. wHx G. Horrocks, Vector bundles on the punctured spectrum of a ring, Proc. London Math. Soc. �3. 14 �1964., 689]713. wKSx S. Katz and S. A. Strømme, Schubert, a Maple package for intersection theory, available at http:rrwww.math.okstaste.edur;;katzrschubert.html or by anonymous ftp from ftp.math.okstate.edu or linus.mi.uib.no, cd pubrschubert. wKx H. Kn¨orrer, Cohen]Macaulay modules on hypersurface singularities, I, In¨ent. Math. 88 �1987., 153]164. wMx C. Madonna, A splitting criterion for rank 2 vector bundles on hypersurfaces in P4, Rend. Sem. Torino, in press. wO1x G. Ottaviani, Crit`eres de scindage pour les fibr´es vectoriels sur les grassmannianes et les quadriques, C.R. Acad. Sci. Paris S´er. I 305 �1987., 257]260. wO2x G. Ottaviani, Some extensions of Horrocks criterion to vector bundles on Grassman- nians and quadrics, Ann. Mat. Pura Appl. �4. 155 �1989., 317]341. | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 5bd88a9c-e3d0-434a-a675-3221b2fde0e4 | |
| relation.isAuthorOfPublication.latestForDiscovery | 5bd88a9c-e3d0-434a-a675-3221b2fde0e4 |
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