The irregularity of ruled surfaces in P 3
| dc.contributor.author | Sols Lucía, Ignacio | |
| dc.contributor.author | Giraldo Suárez, Luis | |
| dc.date.accessioned | 2023-06-20T18:42:50Z | |
| dc.date.available | 2023-06-20T18:42:50Z | |
| dc.date.issued | 1998 | |
| dc.description.abstract | In this paper the authors determine which pairs of integers (d,q) appear as the degree and the irregularity of a ruled surface S in P 3 . The proof is based on the study of the base curve C of S in the Grassmannian G(1,3) ⊂P 5 : according to the dimension of the span of C some inequalities on d,q are given, and the existence of a curve C satisfying them follows from previous results of Rathmann and Pasarescu on curves in P 4 and in P 5 . | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | DGICYT | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/20876 | |
| dc.identifier.issn | 0010-0757 | |
| dc.identifier.officialurl | http://www.collectanea.ub.edu/index.php/Collectanea/article/view/3945/4781 | |
| dc.identifier.relatedurl | http://www.collectanea.ub.edu/index.php/Collectanea/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/58402 | |
| dc.issue.number | 2-3 | |
| dc.journal.title | Collectanea mathematica | |
| dc.language.iso | eng | |
| dc.page.final | 334 | |
| dc.page.initial | 325 | |
| dc.publisher | Springer | |
| dc.relation.projectID | PB93-0440-C03-01. | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 512 | |
| dc.subject.ucm | Álgebra | |
| dc.subject.unesco | 1201 Álgebra | |
| dc.title | The irregularity of ruled surfaces in P 3 | |
| dc.type | journal article | |
| dc.volume.number | 49 | |
| dcterms.references | E. Arrondo and I. Sols, Classification of smooth congruences of low degree, J. Reine Angew. Math. 393 (1989), 199–219. E. Arrondo and I. Sols, On congruences of lines in the projective space,Mém. Soc. Math. France 50, Tome 120, 1992. M.A. de Cataldo, The genus of curves on the three dimensional quadric, Nagoya Math. J. 147 (1997), 193–211. L. Giraldo and I. Sols, On the sectional irregularity of congruences, Manuscripta Math. 90 (1996), 239–266. M. Gross, Surfaces of degree 10 in the Grassmannian of lines in 3-space, J. Reine Angew. Math. 436 (1993), 87–127. L. Gruson and C. Peskine, Genre des courbes de l’espace projectif, Proceedings of Tromso conference on algebraic geometry, Springer LNM 687 (1977), 31–59. L. Gruson and C. Peskine, Genre des courbes de l’espace projectif (II), Ann. Sci.É´cole Norm. Sup. 15(4) (1982), 401–418. J. Harris, Curves in Projective Space, S.M.S. Presses de l’Université de Montréal, 1982. R. Hartshone, Algebraic Geometry, Springer Verlag, GTM 52, 1978. R. Hernández and I. Sols, Line congruences of low degree, Géométrie algébrique et applications II, Travaux en cours, Hermann Paris 1987, 141–154. O. Pasarescu, On the existence of algebraic curves in projective n-space, Arch. Math. 51 (1988), 255–265. J. Rathmann, The genus of curves in P4 and P5, Math. Z. 202 (1989), 525–543. A. Verra, Smooth surfaces of degree 9 in G(1, 3), Manuscripta Math. 62 (1988), 417–435. | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 6d35def4-3d5f-4978-800f-82b7edf76b5d | |
| relation.isAuthorOfPublication | 7ee87225-8f33-4c93-9ead-94ce7ee69773 | |
| relation.isAuthorOfPublication.latestForDiscovery | 7ee87225-8f33-4c93-9ead-94ce7ee69773 |
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